12400965936 has 60 divisors (see below), whose sum is σ = 36214424688. Its totient is φ = 3953930112.

The previous prime is 12400965919. The next prime is 12400966021. The reversal of 12400965936 is 63956900421.

12400965936 is a `hidden beast` number, since 12 + 40 + 0 + 9 + 6 + 593 + 6 = 666.

12400965936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12400965936² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12400965891 and 12400965900.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1868815 + ... + 1875438.

Almost surely, 2^12400965936 is an apocalyptic number.

12400965936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12400965936 is an abundant number, since it is smaller than the sum of its proper divisors (23813458752).

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

12400965936 is a wasteful number, since it uses less digits than its factorization.

12400965936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3744290 (or 3744281 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 12400965936 in words is "twelve billion, four hundred million, nine hundred sixty-five thousand, nine hundred thirty-six".