120657120 has 96 divisors (see below), whose sum is σ = 382529952. Its totient is φ = 31967232.

The previous prime is 120657091. The next prime is 120657127. The reversal of 120657120 is 21756021.

It is a tau number, because it is divible by the number of its divisors (96).

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 (120657127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82314 + ... + 83766.

It is an arithmetic number, because the mean of its divisors is an integer number (3984687).

Almost surely, 2^120657120 is an apocalyptic number.

120657120 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 120657120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191264976).

120657120 is an abundant number, since it is smaller than the sum of its proper divisors (261872832).

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

120657120 is a wasteful number, since it uses less digits than its factorization.

120657120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1644 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 120657120 is about 10984.4034885833. The cubic root of 120657120 is about 494.1411082631.

It can be divided in two parts, 120 and 657120, that multiplied together give a square (78854400 = 8880²).

The spelling of 120657120 in words is "one hundred twenty million, six hundred fifty-seven thousand, one hundred twenty".