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12013345008 = 2433734911383
BaseRepresentation
bin10110011000000110…
…10001100011110000
31011000020020011021000
423030003101203300
5144100404020013
65304023402000
7603462514320
oct131403214360
934006204230
1012013345008
115105246a05
1223b32b3300
131195b57a92
1481d6d3280
154a4a09973
hex2cc0d18f0

12013345008 has 160 divisors (see below), whose sum is σ = 39525248000. Its totient is φ = 3422248704.

The previous prime is 12013344983. The next prime is 12013345013. The reversal of 12013345008 is 80054331021.

It is a happy number.

12013345008 is a `hidden beast` number, since 1 + 20 + 133 + 4 + 500 + 8 = 666.

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

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, 1049685 + ... + 1061067.

It is an arithmetic number, because the mean of its divisors is an integer number (247032800).

Almost surely, 212013345008 is an apocalyptic number.

12013345008 is a gapful number since it is divisible by the number (18) 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 12013345008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19762624000).

12013345008 is an abundant number, since it is smaller than the sum of its proper divisors (27511902992).

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

12013345008 is a wasteful number, since it uses less digits than its factorization.

12013345008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11756 (or 11744 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 12013345008 its reverse (80054331021), we get a palindrome (92067676029).

The spelling of 12013345008 in words is "twelve billion, thirteen million, three hundred forty-five thousand, eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 349 378 432 504 698 756 1008 1047 1396 1512 2094 2443 2792 3024 3141 4188 4886 5584 6282 7329 8376 9423 9772 11383 12564 14658 16752 18846 19544 21987 22766 25128 29316 34149 37692 39088 43974 45532 50256 58632 65961 68298 75384 79681 87948 91064 102447 117264 131922 136596 150768 159362 175896 182128 204894 239043 263844 273192 307341 318724 351792 409788 478086 527688 546384 614682 637448 717129 819576 956172 1055376 1229364 1274896 1434258 1639152 1912344 2151387 2458728 2868516 3824688 3972667 4302774 4917456 5737032 7945334 8605548 11474064 11918001 15890668 17211096 23836002 27808669 31781336 34422192 35754003 47672004 55617338 63562672 71508006 83426007 95344008 107262009 111234676 143016012 166852014 190688016 214524018 222469352 250278021 286032024 333704028 429048036 444938704 500556042 572064048 667408056 750834063 858096072 1001112084 1334816112 1501668126 1716192144 2002224168 3003336252 4004448336 6006672504 12013345008