12920269824 has 990 divisors, whose sum is σ = 52011297756. Its totient is φ = 3158507520.

The previous prime is 12920269799. The next prime is 12920269837. The reversal of 12920269824 is 42896202921.

It is a self number, because there is not a number n which added to its sum of digits gives 12920269824.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 760015864 + ... + 760015880.

Almost surely, 2^12920269824 is an apocalyptic number.

12920269824 is a gapful number since it is divisible by the number (14) 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 12920269824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26005648878).

12920269824 is an abundant number, since it is smaller than the sum of its proper divisors (39091027932).

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

12920269824 is a wasteful number, since it uses less digits than its factorization.

12920269824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 12920269824 in words is "twelve billion, nine hundred twenty million, two hundred sixty-nine thousand, eight hundred twenty-four".