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12001352256 = 263313153017
BaseRepresentation
bin10110010110101011…
…00001101001000000
31010222101122212022000
423023111201221000
5144034321233011
65302514344000
7603255545115
oct131325415100
933871585260
1012001352256
1150a94a5643
1223ab28b000
13119351918a
1481bc9090c
154a393b356
hex2cb561a40

12001352256 has 112 divisors (see below), whose sum is σ = 35551750080. Its totient is φ = 3969838080.

The previous prime is 12001352213. The next prime is 12001352273. The reversal of 12001352256 is 65225310021.

It is a happy number.

12001352256 is a `hidden beast` number, since 120 + 0 + 13 + 522 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199860 + ... + 252876.

It is an arithmetic number, because the mean of its divisors is an integer number (317426340).

Almost surely, 212001352256 is an apocalyptic number.

12001352256 is a gapful number since it is divisible by the number (16) 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 12001352256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17775875040).

12001352256 is an abundant number, since it is smaller than the sum of its proper divisors (23550397824).

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

12001352256 is a wasteful number, since it uses less digits than its factorization.

12001352256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53169 (or 53153 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 12001352256 its reverse (65225310021), we get a palindrome (77226662277).

The spelling of 12001352256 in words is "twelve billion, one million, three hundred fifty-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 131 144 192 216 262 288 393 432 524 576 786 864 1048 1179 1572 1728 2096 2358 3144 3537 4192 4716 6288 7074 8384 9432 12576 14148 18864 25152 28296 37728 53017 56592 75456 106034 113184 159051 212068 226368 318102 424136 477153 636204 848272 954306 1272408 1431459 1696544 1908612 2544816 2862918 3393088 3817224 5089632 5725836 6945227 7634448 10179264 11451672 13890454 15268896 20835681 22903344 27780908 30537792 41671362 45806688 55561816 62507043 83342724 91613376 111123632 125014086 166685448 187521129 222247264 250028172 333370896 375042258 444494528 500056344 666741792 750084516 1000112688 1333483584 1500169032 2000225376 3000338064 4000450752 6000676128 12001352256