6112972800 has 780 divisors, whose sum is σ = 25071143856. Its totient is φ = 1459814400.

The previous prime is 6112972799. The next prime is 6112972813. The reversal of 6112972800 is 82792116.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 59 ways as a sum of consecutive naturals, for example, 91238367 + ... + 91238433.

Almost surely, 2^6112972800 is an apocalyptic number.

6112972800 is a gapful number since it is divisible by the number (60) 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 6112972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12535571928).

6112972800 is an abundant number, since it is smaller than the sum of its proper divisors (18958171056).

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

6112972800 is a wasteful number, since it uses less digits than its factorization.

6112972800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 6112972800 is about 78185.5024924698. The cubic root of 6112972800 is about 1828.4544865690.

The spelling of 6112972800 in words is "six billion, one hundred twelve million, nine hundred seventy-two thousand, eight hundred".