120653120 has 112 divisors (see below), whose sum is σ = 334109568. Its totient is φ = 40642560.

The previous prime is 120653111. The next prime is 120653123. The reversal of 120653120 is 21356021.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 120653092 and 120653101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120653123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136199 + ... + 137081.

Almost surely, 2^120653120 is an apocalyptic number.

120653120 is a gapful number since it is divisible by the number (10) 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 120653120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167054784).

120653120 is an abundant number, since it is smaller than the sum of its proper divisors (213456448).

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

120653120 is an equidigital number, since it uses as much as digits as its factorization.

120653120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 120653120 is about 10984.2214107328. The cubic root of 120653120 is about 494.1356476480.

The spelling of 120653120 in words is "one hundred twenty million, six hundred fifty-three thousand, one hundred twenty".