3392125120512 has 312 divisors, whose sum is σ = 9895615118064. Its totient is φ = 1119522127872.

The previous prime is 3392125120469. The next prime is 3392125120541. The reversal of 3392125120512 is 2150215212933.

3392125120512 is a `hidden beast` number, since 3 + 3 + 9 + 2 + 12 + 5 + 120 + 512 = 666.

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 23 ways as a sum of consecutive naturals, for example, 2843356588 + ... + 2843357780.

It is an arithmetic number, because the mean of its divisors is an integer number (31716715122).

Almost surely, 2^{3392125120512} is an apocalyptic number.

3392125120512 is a gapful number since it is divisible by the number (32) 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 3392125120512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4947807559032).

3392125120512 is an abundant number, since it is smaller than the sum of its proper divisors (6503489997552).

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

3392125120512 is a wasteful number, since it uses less digits than its factorization.

3392125120512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1923 (or 1898 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 3392125120512 in words is "three trillion, three hundred ninety-two billion, one hundred twenty-five million, one hundred twenty thousand, five hundred twelve".