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12031412232 = 23373122710177
BaseRepresentation
bin10110011010010000…
…01100100000001000
31011001111020001211110
423031020030200020
5144120020142412
65305510530320
7604102213410
oct131510144010
934044201743
1012031412232
1151144670a4
1223b93669a0
131199812548
14821c77640
154a63c7d3c
hex2cd20c808

12031412232 has 128 divisors (see below), whose sum is σ = 35644170240. Its totient is φ = 3311677440.

The previous prime is 12031412213. The next prime is 12031412257. The reversal of 12031412232 is 23221413021.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 12031412199 and 12031412208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1177128 + ... + 1187304.

It is an arithmetic number, because the mean of its divisors is an integer number (278470080).

Almost surely, 212031412232 is an apocalyptic number.

12031412232 is a gapful number since it is divisible by the number (12) 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 12031412232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17822085120).

12031412232 is an abundant number, since it is smaller than the sum of its proper divisors (23612758008).

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

12031412232 is a wasteful number, since it uses less digits than its factorization.

12031412232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10451 (or 10447 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 12031412232 its reverse (23221413021), we get a palindrome (35252825253).

The spelling of 12031412232 in words is "twelve billion, thirty-one million, four hundred twelve thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 186 217 227 248 372 434 454 651 681 744 868 908 1302 1362 1589 1736 1816 2604 2724 3178 4767 5208 5448 6356 7037 9534 10177 12712 14074 19068 20354 21111 28148 30531 38136 40708 42222 49259 56296 61062 71239 81416 84444 98518 122124 142478 147777 168888 197036 213717 244248 284956 295554 315487 394072 427434 569912 591108 630974 854868 946461 1182216 1261948 1709736 1892922 2208409 2310179 2523896 3785844 4416818 4620358 6625227 6930537 7571688 8833636 9240716 13250454 13861074 16171253 17667272 18481432 26500908 27722148 32342506 48513759 53001816 55444296 64685012 71615549 97027518 129370024 143231098 194055036 214846647 286462196 388110072 429693294 501308843 572924392 859386588 1002617686 1503926529 1718773176 2005235372 3007853058 4010470744 6015706116 12031412232