12624721920 has 144 divisors (see below), whose sum is σ = 43755337080. Its totient is φ = 3366567936.

The previous prime is 12624721909. The next prime is 12624721943. The reversal of 12624721920 is 2912742621.

12624721920 is a `hidden beast` number, since 1 + 2 + 624 + 7 + 2 + 1 + 9 + 20 = 666.

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

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 11 ways as a sum of consecutive naturals, for example, 23667 + ... + 160653.

Almost surely, 2^12624721920 is an apocalyptic number.

12624721920 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 12624721920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21877668540).

12624721920 is an abundant number, since it is smaller than the sum of its proper divisors (31130615160).

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

12624721920 is a wasteful number, since it uses less digits than its factorization.

12624721920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137020 (or 136997 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 12624721920 in words is "twelve billion, six hundred twenty-four million, seven hundred twenty-one thousand, nine hundred twenty".