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12412523112 = 233111911991237
BaseRepresentation
bin10111000111101100…
…00001001001101000
31012001001100111200020
423203312001021220
5200410101214422
65411403240440
7616410464013
oct134366011150
935031314606
1012412523112
11529a600370
1224a4b19120
13122a76c242
1485a72237a
154c9aa995c
hex2e3d81268

12412523112 has 128 divisors (see below), whose sum is σ = 34228224000. Its totient is φ = 3719865600.

The previous prime is 12412523107. The next prime is 12412523117. The reversal of 12412523112 is 21132521421.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12412523107) and next prime (12412523117).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (12412523117) 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, 10033758 + ... + 10034994.

It is an arithmetic number, because the mean of its divisors is an integer number (267408000).

Almost surely, 212412523112 is an apocalyptic number.

12412523112 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 12412523112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17114112000).

12412523112 is an abundant number, since it is smaller than the sum of its proper divisors (21815700888).

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

12412523112 is a wasteful number, since it uses less digits than its factorization.

12412523112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1647 (or 1643 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The spelling of 12412523112 in words is "twelve billion, four hundred twelve million, five hundred twenty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 191 199 264 382 398 573 597 764 796 1146 1194 1237 1528 1592 2101 2189 2292 2388 2474 3711 4202 4378 4584 4776 4948 6303 6567 7422 8404 8756 9896 12606 13134 13607 14844 16808 17512 25212 26268 27214 29688 38009 40821 50424 52536 54428 76018 81642 108856 114027 152036 163284 228054 236267 246163 304072 326568 418099 456108 472534 492326 708801 738489 836198 912216 945068 984652 1254297 1417602 1476978 1672396 1890136 1969304 2508594 2598937 2707793 2835204 2953956 3344792 5017188 5197874 5415586 5670408 5907912 7796811 8123379 10034376 10395748 10831172 15593622 16246758 20791496 21662344 31187244 32493516 47017133 62374488 64987032 94034266 141051399 188068532 282102798 376137064 517188463 564205596 1034376926 1128411192 1551565389 2068753852 3103130778 4137507704 6206261556 12412523112