120942964800 has 504 divisors, whose sum is σ = 517132824000. Its totient is φ = 26188738560.

The previous prime is 120942964789. The next prime is 120942964847. The reversal of 120942964800 is 8469249021.

120942964800 is a `hidden beast` number, since 120 + 9 + 42 + 9 + 6 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×120942964800² (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 an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1883626 + ... + 1946774.

Almost surely, 2^120942964800 is an apocalyptic number.

120942964800 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 120942964800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258566412000).

120942964800 is an abundant number, since it is smaller than the sum of its proper divisors (396189859200).

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

120942964800 is a wasteful number, since it uses less digits than its factorization.

120942964800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63203 (or 63185 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 120942964800 in words is "one hundred twenty billion, nine hundred forty-two million, nine hundred sixty-four thousand, eight hundred".