12954289920 has 576 divisors, whose sum is σ = 50239623168. Its totient is φ = 2801664000.

The previous prime is 12954289913. The next prime is 12954289939. The reversal of 12954289920 is 2998245921.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17022340 + ... + 17023100.

It is an arithmetic number, because the mean of its divisors is an integer number (87221568).

Almost surely, 2^12954289920 is an apocalyptic number.

12954289920 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 12954289920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25119811584).

12954289920 is an abundant number, since it is smaller than the sum of its proper divisors (37285333248).

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

12954289920 is a wasteful number, since it uses less digits than its factorization.

12954289920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 51.

The spelling of 12954289920 in words is "twelve billion, nine hundred fifty-four million, two hundred eighty-nine thousand, nine hundred twenty".