6012292800 has 336 divisors, whose sum is σ = 20525943200. Its totient is φ = 1539440640.

The previous prime is 6012292787. The next prime is 6012292801. The reversal of 6012292800 is 82922106.

It is a super-2 number, since 2×6012292800² = 72295329425863680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (6012292801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17227026 + ... + 17227374.

Almost surely, 2^6012292800 is an apocalyptic number.

6012292800 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 6012292800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10262971600).

6012292800 is an abundant number, since it is smaller than the sum of its proper divisors (14513650400).

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

6012292800 is a wasteful number, since it uses less digits than its factorization.

6012292800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 6012292800 is about 77538.9760056193. The cubic root of 6012292800 is about 1818.3607185177.

The spelling of 6012292800 in words is "six billion, twelve million, two hundred ninety-two thousand, eight hundred".