120958608960 has 840 divisors, whose sum is σ = 505033873344. Its totient is φ = 27398891520.

The previous prime is 120958608937. The next prime is 120958608961. The reversal of 120958608960 is 69806859021.

It is a happy number.

120958608960 is a `hidden beast` number, since 1 + 20 + 9 + 5 + 8 + 608 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 120958608897 and 120958608906.

It is not an unprimeable number, because it can be changed into a prime (120958608961) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 166380117 + ... + 166380843.

Almost surely, 2^120958608960 is an apocalyptic number.

120958608960 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 120958608960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252516936672).

120958608960 is an abundant number, since it is smaller than the sum of its proper divisors (384075264384).

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

120958608960 is a wasteful number, since it uses less digits than its factorization.

120958608960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 901 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 120958608960 in words is "one hundred twenty billion, nine hundred fifty-eight million, six hundred eight thousand, nine hundred sixty".