12720758400 has 1344 divisors, whose sum is σ = 58061908800. Its totient is φ = 2687385600.

The previous prime is 12720758371. The next prime is 12720758411. The reversal of 12720758400 is 485702721.

12720758400 is a `hidden beast` number, since 1 + 2 + 72 + 0 + 7 + 584 + 0 + 0 = 666.

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 an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 310262380 + ... + 310262420.

It is an arithmetic number, because the mean of its divisors is an integer number (43200825).

Almost surely, 2^12720758400 is an apocalyptic number.

12720758400 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 12720758400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29030954400).

12720758400 is an abundant number, since it is smaller than the sum of its proper divisors (45341150400).

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

12720758400 is an equidigital number, since it uses as much as digits as its factorization.

12720758400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The spelling of 12720758400 in words is "twelve billion, seven hundred twenty million, seven hundred fifty-eight thousand, four hundred".