120813696 has 192 divisors, whose sum is σ = 381888000. Its totient is φ = 36495360.

The previous prime is 120813691. The next prime is 120813701. The reversal of 120813696 is 696318021.

It is an interprime number because it is at equal distance from previous prime (120813691) and next prime (120813701).

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a self number, because there is not a number n which added to its sum of digits gives 120813696.

It is not an unprimeable number, because it can be changed into a prime (120813691) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 607005 + ... + 607203.

It is an arithmetic number, because the mean of its divisors is an integer number (1989000).

Almost surely, 2^120813696 is an apocalyptic number.

120813696 is a gapful number since it is divisible by the number (16) 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 120813696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190944000).

120813696 is an abundant number, since it is smaller than the sum of its proper divisors (261074304).

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

120813696 is a wasteful number, since it uses less digits than its factorization.

120813696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 120813696 is about 10991.5283741616. The cubic root of 120813696 is about 494.3547638255.

The spelling of 120813696 in words is "one hundred twenty million, eight hundred thirteen thousand, six hundred ninety-six".