120955680 has 336 divisors, whose sum is σ = 461079864. Its totient is φ = 29859840.

The previous prime is 120955673. The next prime is 120955687. The reversal of 120955680 is 86559021.

It is a happy number.

120955680 is a `hidden beast` number, since 1 + 2 + 0 + 95 + 568 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (120955673) and next prime (120955687).

It can be written as a sum of positive squares in 4 ways, for example, as 80353296 + 40602384 = 8964^2 + 6372^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120955687) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1982850 + ... + 1982910.

Almost surely, 2^120955680 is an apocalyptic number.

120955680 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 120955680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230539932).

120955680 is an abundant number, since it is smaller than the sum of its proper divisors (340124184).

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

120955680 is an equidigital number, since it uses as much as digits as its factorization.

120955680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 120955680 is about 10997.9852700392. The cubic root of 120955680 is about 494.5483483565.

The spelling of 120955680 in words is "one hundred twenty million, nine hundred fifty-five thousand, six hundred eighty".