120959879040 has 2688 divisors, whose sum is σ = 608526263520. Its totient is φ = 22574039040.

The previous prime is 120959879021. The next prime is 120959879069. The reversal of 120959879040 is 40978959021.

120959879040 is a `hidden beast` number, since 1 + 2 + 0 + 9 + 598 + 7 + 9 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 3269185902 + ... + 3269185938.

Almost surely, 2^120959879040 is an apocalyptic number.

120959879040 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 120959879040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304263131760).

120959879040 is an abundant number, since it is smaller than the sum of its proper divisors (487566384480).

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

120959879040 is a wasteful number, since it uses less digits than its factorization.

120959879040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

It can be divided in two parts, 120959 and 879040, that added together give a palindrome (999999).

The spelling of 120959879040 in words is "one hundred twenty billion, nine hundred fifty-nine million, eight hundred seventy-nine thousand, forty".