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12031931124 = 22325937315187
BaseRepresentation
bin10110011010010100…
…01011001011110100
31011001112012102121200
423031022023023310
5144120133243444
65305530012500
7604106504253
oct131512131364
934045172550
1012031931124
115114790a34
1223b9577130
131199964795
14821d7079a
154a647b969
hex2cd28b2f4

12031931124 has 72 divisors (see below), whose sum is σ = 31014503520. Its totient is φ = 3931837632.

The previous prime is 12031931123. The next prime is 12031931137. The reversal of 12031931124 is 42113913021.

12031931124 is a `hidden beast` number, since 12 + 0 + 319 + 311 + 24 = 666.

12031931124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12031931123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 784659 + ... + 799845.

Almost surely, 212031931124 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 12031931124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15507251760).

12031931124 is an abundant number, since it is smaller than the sum of its proper divisors (18982572396).

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

12031931124 is a wasteful number, since it uses less digits than its factorization.

12031931124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15629 (or 15624 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 12031931124 in words is "twelve billion, thirty-one million, nine hundred thirty-one thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 59 118 177 236 354 373 531 708 746 1062 1119 1492 2124 2238 3357 4476 6714 13428 15187 22007 30374 44014 45561 60748 66021 88028 91122 132042 136683 182244 198063 264084 273366 396126 546732 792252 896033 1792066 2688099 3584132 5376198 5664751 8064297 10752396 11329502 16128594 16994253 22659004 32257188 33988506 50982759 67977012 101965518 203931036 334220309 668440618 1002660927 1336881236 2005321854 3007982781 4010643708 6015965562 12031931124