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12143243120 = 2453137592243
BaseRepresentation
bin10110100111100101…
…10010111101110000
31011100021122122222012
423103302302331300
5144332132234440
65324543502052
7606630602111
oct132362627560
934307578865
1012143243120
1151715a9318
12242a8b7928
1311b6a39078
14832a68208
154b1117e65
hex2d3cb2f70

12143243120 has 160 divisors (see below), whose sum is σ = 30452336640. Its totient is φ = 4494044160.

The previous prime is 12143243117. The next prime is 12143243137. The reversal of 12143243120 is 2134234121.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5412719 + ... + 5414961.

It is an arithmetic number, because the mean of its divisors is an integer number (190327104).

Almost surely, 212143243120 is an apocalyptic number.

12143243120 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 12143243120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15226168320).

12143243120 is an abundant number, since it is smaller than the sum of its proper divisors (18309093520).

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

12143243120 is a wasteful number, since it uses less digits than its factorization.

12143243120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2383 (or 2377 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 12143243120 its reverse (2134234121), we get a palindrome (14277477241).

The spelling of 12143243120 in words is "twelve billion, one hundred forty-three million, two hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 37 40 59 62 74 80 118 124 148 155 185 236 248 295 296 310 370 472 496 590 592 620 740 944 1147 1180 1240 1480 1829 2183 2243 2294 2360 2480 2960 3658 4366 4486 4588 4720 5735 7316 8732 8972 9145 9176 10915 11215 11470 14632 17464 17944 18290 18352 21830 22430 22940 29264 34928 35888 36580 43660 44860 45880 67673 69533 73160 82991 87320 89720 91760 132337 135346 139066 146320 165982 174640 179440 264674 270692 278132 331964 338365 347665 414955 529348 541384 556264 661685 663928 676730 695330 829910 1058696 1082768 1112528 1323370 1327856 1353460 1390660 1659820 2117392 2572721 2646740 2706920 2781320 3319640 4102447 4896469 5145442 5293480 5413840 5562640 6639280 8204894 9792938 10290884 10586960 12863605 16409788 19585876 20512235 20581768 24482345 25727210 32819576 39171752 41024470 41163536 48964690 51454420 65639152 78343504 82048940 97929380 102908840 151790539 164097880 195858760 205817680 303581078 328195760 391717520 607162156 758952695 1214324312 1517905390 2428648624 3035810780 6071621560 12143243120