120955680000 has 1260 divisors, whose sum is σ = 486806412708. Its totient is φ = 29859840000.

The previous prime is 120955679987. The next prime is 120955680023. The reversal of 120955680000 is 86559021.

It is a happy number.

120955680000 is a `hidden beast` number, since 1 + 2 + 0 + 95 + 568 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 106944696576 + 14010983424 = 327024^2 + 118368^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 1982879970 + ... + 1982880030.

Almost surely, 2^120955680000 is an apocalyptic number.

120955680000 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 120955680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243403206354).

120955680000 is an abundant number, since it is smaller than the sum of its proper divisors (365850732708).

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

120955680000 is an frugal number, since it uses more digits than its factorization.

120955680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 88 counting only the distinct ones).

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

The spelling of 120955680000 in words is "one hundred twenty billion, nine hundred fifty-five million, six hundred eighty thousand".