12913992000 has 1344 divisors, whose sum is σ = 59769475584. Its totient is φ = 2687385600.

The previous prime is 12913991977. The next prime is 12913992011. The reversal of 12913992000 is 29931921.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 176903964 + ... + 176904036.

It is an arithmetic number, because the mean of its divisors is an integer number (44471336).

Almost surely, 2^12913992000 is an apocalyptic number.

12913992000 is a gapful number since it is divisible by the number (10) 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 12913992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29884737792).

12913992000 is an abundant number, since it is smaller than the sum of its proper divisors (46855483584).

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

12913992000 is an equidigital number, since it uses as much as digits as its factorization.

12913992000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The spelling of 12913992000 in words is "twelve billion, nine hundred thirteen million, nine hundred ninety-two thousand".