12954964320 has 144 divisors (see below), whose sum is σ = 45237143952. Its totient is φ = 3374300160.

The previous prime is 12954964261. The next prime is 12954964349. The reversal of 12954964320 is 2346945921.

12954964320 is a `hidden beast` number, since 1 + 29 + 549 + 64 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×12954964320² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 42691 + ... + 166530.

It is an arithmetic number, because the mean of its divisors is an integer number (314146833).

Almost surely, 2^12954964320 is an apocalyptic number.

12954964320 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 12954964320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22618571976).

12954964320 is an abundant number, since it is smaller than the sum of its proper divisors (32282179632).

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

12954964320 is a wasteful number, since it uses less digits than its factorization.

12954964320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209285 (or 209274 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 12954964320 in words is "twelve billion, nine hundred fifty-four million, nine hundred sixty-four thousand, three hundred twenty".