120916972800 has 864 divisors, whose sum is σ = 502806012800. Its totient is φ = 28187688960.

The previous prime is 120916972753. The next prime is 120916972849. The reversal of 120916972800 is 8279619021.

120916972800 is a `hidden beast` number, since 1 + 209 + 169 + 7 + 280 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×120916972800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42680184 + ... + 42683016.

Almost surely, 2^120916972800 is an apocalyptic number.

120916972800 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 120916972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251403006400).

120916972800 is an abundant number, since it is smaller than the sum of its proper divisors (381889040000).

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

120916972800 is a wasteful number, since it uses less digits than its factorization.

120916972800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2900 (or 2875 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 120916972800 in words is "one hundred twenty billion, nine hundred sixteen million, nine hundred seventy-two thousand, eight hundred".