120656000 has 64 divisors (see below), whose sum is σ = 300020760. Its totient is φ = 48256000.

The previous prime is 120655993. The next prime is 120656027. The reversal of 120656000 is 656021.

It can be written as a sum of positive squares in 4 ways, for example, as 14318656 + 106337344 = 3784^2 + 10312^2 .

It is a tau number, because it is divible by the number of its divisors (64).

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

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, 12230 + ... + 19770.

Almost surely, 2^120656000 is an apocalyptic number.

120656000 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 120656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150010380).

120656000 is an abundant number, since it is smaller than the sum of its proper divisors (179364760).

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

120656000 is an frugal number, since it uses more digits than its factorization.

120656000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7570 (or 7548 counting only the distinct ones).

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

The square root of 120656000 is about 10984.3525070893. The cubic root of 120656000 is about 494.1395793030.

The spelling of 120656000 in words is "one hundred twenty million, six hundred fifty-six thousand".