12992918400 has 1728 divisors, whose sum is σ = 62980968960. Its totient is φ = 2612736000.

The previous prime is 12992918347. The next prime is 12992918429. The reversal of 12992918400 is 481929921.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 419126385 + ... + 419126415.

It is an arithmetic number, because the mean of its divisors is an integer number (36447320).

Almost surely, 2^12992918400 is an apocalyptic number.

12992918400 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 12992918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31490484480).

12992918400 is an abundant number, since it is smaller than the sum of its proper divisors (49988050560).

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

12992918400 is a wasteful number, since it uses less digits than its factorization.

12992918400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 12992918400 in words is "twelve billion, nine hundred ninety-two million, nine hundred eighteen thousand, four hundred".