Search a number
-
+
1210002120120 = 2335471597134339
BaseRepresentation
bin10001100110111001101…
…111110001110110111000
311021200020010110110100210
4101212321233301312320
5124311041020320440
62323511200431120
7153263660215053
oct21467157616670
94250203413323
101210002120120
11427182719a72
1217660b3184a0
138a144868191
14427c8a7da9a
152171cd66a80
hex119b9bf1db8

1210002120120 has 128 divisors (see below), whose sum is σ = 3709589529600. Its totient is φ = 315601875456.

The previous prime is 1210002120079. The next prime is 1210002120139. The reversal of 1210002120120 is 210212000121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1210002120096 and 1210002120105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8939911 + ... + 9074249.

It is an arithmetic number, because the mean of its divisors is an integer number (28981168200).

Almost surely, 21210002120120 is an apocalyptic number.

1210002120120 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 1210002120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1854794764800).

1210002120120 is an abundant number, since it is smaller than the sum of its proper divisors (2499587409480).

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

1210002120120 is a wasteful number, since it uses less digits than its factorization.

1210002120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135997 (or 135993 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1210002120120 its reverse (210212000121), we get a palindrome (1420214120241).

The spelling of 1210002120120 in words is "one trillion, two hundred ten billion, two million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 94 120 141 188 235 282 376 470 564 705 940 1128 1410 1597 1880 2820 3194 4791 5640 6388 7985 9582 12776 15970 19164 23955 31940 38328 47910 63880 75059 95820 134339 150118 191640 225177 268678 300236 375295 403017 450354 537356 600472 671695 750590 806034 900708 1074712 1125885 1343390 1501180 1612068 1801416 2015085 2251770 2686780 3002360 3224136 4030170 4503540 5373560 6313933 8060340 9007080 12627866 16120680 18941799 25255732 31569665 37883598 50511464 63139330 75767196 94708995 126278660 151534392 189417990 214539383 252557320 378835980 429078766 643618149 757671960 858157532 1072696915 1287236298 1716315064 2145393830 2574472596 3218090745 4290787660 5148945192 6436181490 8581575320 10083351001 12872362980 20166702002 25744725960 30250053003 40333404004 50416755005 60500106006 80666808008 100833510010 121000212012 151250265015 201667020020 242000424024 302500530030 403334040040 605001060060 1210002120120