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12001956696 = 23323743104773
BaseRepresentation
bin10110010110101111…
…10101001101011000
31010222102210120102200
423023113311031120
5144040000103241
65302535330200
7603263643252
oct131327651530
933872716380
1012001956696
1150a9878784
1223ab520960
13119369b332
1481bdaacd2
154a3a0a4b6
hex2cb5f5358

12001956696 has 96 divisors (see below), whose sum is σ = 34160514960. Its totient is φ = 3801966336.

The previous prime is 12001956677. The next prime is 12001956697. The reversal of 12001956696 is 69665910021.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001956697) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 62166 + ... + 166938.

Almost surely, 212001956696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12001956696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17080257480).

12001956696 is an abundant number, since it is smaller than the sum of its proper divisors (22158558264).

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

12001956696 is a wasteful number, since it uses less digits than its factorization.

12001956696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104865 (or 104858 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

It can be divided in two parts, 120019 and 56696, that added together give a triangular number (176715 = T594).

The spelling of 12001956696 in words is "twelve billion, one million, nine hundred fifty-six thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 43 72 74 86 111 129 148 172 222 258 296 333 344 387 444 516 666 774 888 1032 1332 1548 1591 2664 3096 3182 4773 6364 9546 12728 14319 19092 28638 38184 57276 104773 114552 209546 314319 419092 628638 838184 942957 1257276 1885914 2514552 3771828 3876601 4505239 7543656 7753202 9010478 11629803 13515717 15506404 18020956 23259606 27031434 31012808 34889409 36041912 40547151 46519212 54062868 69778818 81094302 93038424 108125736 139557636 162188604 166693843 279115272 324377208 333387686 500081529 666775372 1000163058 1333550744 1500244587 2000326116 3000489174 4000652232 6000978348 12001956696