392121312 has 72 divisors (see below), whose sum is σ = 1131433128. Its totient is φ = 118821120.

The previous prime is 392121311. The next prime is 392121313. The reversal of 392121312 is 213121293.

It is an interprime number because it is at equal distance from previous prime (392121311) and next prime (392121313).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (392121311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5263 + ... + 28494.

It is an arithmetic number, because the mean of its divisors is an integer number (15714349).

Almost surely, 2^392121312 is an apocalyptic number.

392121312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

392121312 is an abundant number, since it is smaller than the sum of its proper divisors (739311816).

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

392121312 is a wasteful number, since it uses less digits than its factorization.

392121312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33792 (or 33773 counting only the distinct ones).

The product of its digits is 648, while the sum is 24.

The square root of 392121312 is about 19802.0532268752. The cubic root of 392121312 is about 731.9366304245.

The spelling of 392121312 in words is "three hundred ninety-two million, one hundred twenty-one thousand, three hundred twelve".