6012208800 has 756 divisors, whose sum is σ = 24219500634. Its totient is φ = 1455667200.

The previous prime is 6012208751. The next prime is 6012208819. The reversal of 6012208800 is 88022106.

It can be written as a sum of positive squares in 9 ways, for example, as 1099320336 + 4912888464 = 33156^2 + 70092^2 .

It is a super-2 number, since 2×6012208800² = 72293309309594880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 98560770 + ... + 98560830.

Almost surely, 2^6012208800 is an apocalyptic number.

6012208800 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 6012208800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12109750317).

6012208800 is an abundant number, since it is smaller than the sum of its proper divisors (18207291834).

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

6012208800 is a wasteful number, since it uses less digits than its factorization.

6012208800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 6012208800 is about 77538.4343406546. The cubic root of 6012208800 is about 1818.3522501448.

The spelling of 6012208800 in words is "six billion, twelve million, two hundred eight thousand, eight hundred".