12900338496 has 336 divisors, whose sum is σ = 40448179200. Its totient is φ = 3917362176.

The previous prime is 12900338483. The next prime is 12900338501. The reversal of 12900338496 is 69483300921.

It is a happy number.

12900338496 is a `hidden beast` number, since 129 + 0 + 0 + 3 + 38 + 496 = 666.

It is a super-2 number, since 2×12900338496² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37176595 + ... + 37176941.

Almost surely, 2^12900338496 is an apocalyptic number.

12900338496 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 12900338496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20224089600).

12900338496 is an abundant number, since it is smaller than the sum of its proper divisors (27547840704).

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

12900338496 is a wasteful number, since it uses less digits than its factorization.

12900338496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 12900338496 in words is "twelve billion, nine hundred million, three hundred thirty-eight thousand, four hundred ninety-six".