6112972800000 has 1920 divisors, whose sum is σ = 25274412646560. Its totient is φ = 1459814400000.

The previous prime is 6112972799957. The next prime is 6112972800059. The reversal of 6112972800000 is 82792116.

It is a tau number, because it is divible by the number of its divisors (1920).

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 119 ways as a sum of consecutive naturals, for example, 91238399967 + ... + 91238400033.

Almost surely, 2^{6112972800000} is an apocalyptic number.

6112972800000 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 6112972800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12637206323280).

6112972800000 is an abundant number, since it is smaller than the sum of its proper divisors (19161439846560).

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

6112972800000 is an frugal number, since it uses more digits than its factorization.

6112972800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 88 counting only the distinct ones).

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

The spelling of 6112972800000 in words is "six trillion, one hundred twelve billion, nine hundred seventy-two million, eight hundred thousand".