120093792 has 192 divisors, whose sum is σ = 396264960. Its totient is φ = 31002624.

The previous prime is 120093791. The next prime is 120093793. The reversal of 120093792 is 297390021.

It is an interprime number because it is at equal distance from previous prime (120093791) and next prime (120093793).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120093791) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 515308 + ... + 515540.

It is an arithmetic number, because the mean of its divisors is an integer number (2063880).

Almost surely, 2^120093792 is an apocalyptic number.

120093792 is a gapful number since it is divisible by the number (12) 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 120093792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198132480).

120093792 is an abundant number, since it is smaller than the sum of its proper divisors (276171168).

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

120093792 is a wasteful number, since it uses less digits than its factorization.

120093792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 120093792 is about 10958.7313134322. The cubic root of 120093792 is about 493.3708874910.

The spelling of 120093792 in words is "one hundred twenty million, ninety-three thousand, seven hundred ninety-two".