712112921452800 has 3024 divisors, whose sum is σ = 3160638941160960. Its totient is φ = 155367436124160.

The previous prime is 712112921452789. The next prime is 712112921452819. The reversal of 712112921452800 is 8254129211217.

712112921452800 is a `hidden beast` number, since 7 + 1 + 2 + 112 + 9 + 2 + 1 + 4 + 528 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

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

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 64044685641 + ... + 64044696759.

It is an arithmetic number, because the mean of its divisors is an integer number (1045184835040).

Almost surely, 2^{712112921452800} is an apocalyptic number.

712112921452800 is a gapful number since it is divisible by the number (70) 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 712112921452800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1580319470580480).

712112921452800 is an abundant number, since it is smaller than the sum of its proper divisors (2448526019708160).

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

712112921452800 is a wasteful number, since it uses less digits than its factorization.

712112921452800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11260 (or 11226 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 712112921452800 in words is "seven hundred twelve trillion, one hundred twelve billion, nine hundred twenty-one million, four hundred fifty-two thousand, eight hundred".