120813792 has 48 divisors (see below), whose sum is σ = 345969792. Its totient is φ = 36609920.

The previous prime is 120813773. The next prime is 120813817. The reversal of 120813792 is 297318021.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×120813792³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56148 + ... + 58259.

It is an arithmetic number, because the mean of its divisors is an integer number (7207704).

Almost surely, 2^120813792 is an apocalyptic number.

120813792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120813792 is an abundant number, since it is smaller than the sum of its proper divisors (225156000).

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

120813792 is a wasteful number, since it uses less digits than its factorization.

120813792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114431 (or 114423 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 120813792 is about 10991.5327411604. The cubic root of 120813792 is about 494.3548947655.

The spelling of 120813792 in words is "one hundred twenty million, eight hundred thirteen thousand, seven hundred ninety-two".