Search a number
-
+
123012203512240 = 24574143112430799
BaseRepresentation
bin11011111110000100000010…
…101100011000000110110000
3121010112211222222002222001101
4123332010002230120012300
5112110412443044342430
61113343005352014144
734624224035451160
oct3376040254300660
9533484888088041
10123012203512240
1136217200a63299
121196870a091354
135384002308223
142253b729dc5a0
15e34c6a419dca
hex6fe102b181b0

123012203512240 has 160 divisors (see below), whose sum is σ = 335610119577600. Its totient is φ = 41051467315200.

The previous prime is 123012203512207. The next prime is 123012203512241. The reversal of 123012203512240 is 42215302210321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 123012203512199 and 123012203512208.

It is not an unprimeable number, because it can be changed into a prime (123012203512241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3680361 + ... + 16111159.

It is an arithmetic number, because the mean of its divisors is an integer number (2097563247360).

Almost surely, 2123012203512240 is an apocalyptic number.

123012203512240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123012203512240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167805059788800).

123012203512240 is an abundant number, since it is smaller than the sum of its proper divisors (212597916065360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

123012203512240 is a wasteful number, since it uses less digits than its factorization.

123012203512240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12431291 (or 12431285 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 123012203512240 its reverse (42215302210321), we get a palindrome (165227505722561).

The spelling of 123012203512240 in words is "one hundred twenty-three trillion, twelve billion, two hundred three million, five hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 41 56 70 80 82 112 140 164 205 280 287 328 410 431 560 574 656 820 862 1148 1435 1640 1724 2155 2296 2870 3017 3280 3448 4310 4592 5740 6034 6896 8620 11480 12068 15085 17240 17671 22960 24136 30170 34480 35342 48272 60340 70684 88355 120680 123697 141368 176710 241360 247394 282736 353420 494788 618485 706840 989576 1236970 1413680 1979152 2473940 4947880 9895760 12430799 24861598 49723196 62153995 87015593 99446392 124307990 174031186 198892784 248615980 348062372 435077965 497231960 509662759 696124744 870155930 994463920 1019325518 1392249488 1740311860 2038651036 2548313795 3480623720 3567639313 4077302072 5096627590 5357674369 6961247440 7135278626 8154604144 10193255180 10715348738 14270557252 17838196565 20386510360 21430697476 26788371845 28541114504 35676393130 37503720583 40773020720 42861394952 53576743690 57082229008 71352786260 75007441166 85722789904 107153487380 142705572520 150014882332 187518602915 214306974760 219664649129 285411145040 300029764664 375037205830 428613949520 439329298258 600059529328 750074411660 878658596516 1098323245645 1500148823320 1537652543903 1757317193032 2196646491290 3000297646640 3075305087806 3514634386064 4393292982580 6150610175612 7688262719515 8786585965160 12301220351224 15376525439030 17573171930320 24602440702448 30753050878060 61506101756120 123012203512240