6112908000 has 576 divisors, whose sum is σ = 23753882880. Its totient is φ = 1539648000.

The previous prime is 6112907971. The next prime is 6112908023. The reversal of 6112908000 is 8092116.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18467835 + ... + 18468165.

It is an arithmetic number, because the mean of its divisors is an integer number (41239380).

Almost surely, 2^6112908000 is an apocalyptic number.

6112908000 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 6112908000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11876941440).

6112908000 is an abundant number, since it is smaller than the sum of its proper divisors (17640974880).

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

6112908000 is a wasteful number, since it uses less digits than its factorization.

6112908000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 6112908000 is about 78185.0880922955. The cubic root of 6112908000 is about 1828.4480257589.

The spelling of 6112908000 in words is "six billion, one hundred twelve million, nine hundred eight thousand".