120188296800 has 1152 divisors, whose sum is σ = 515936977920. Its totient is φ = 26619494400.

The previous prime is 120188296799. The next prime is 120188296831. The reversal of 120188296800 is 8692881021.

It is a happy number.

120188296800 is a `hidden beast` number, since 1 + 201 + 88 + 296 + 80 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 515829484 + ... + 515829716.

It is an arithmetic number, because the mean of its divisors is an integer number (447861960).

Almost surely, 2^120188296800 is an apocalyptic number.

120188296800 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 120188296800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257968488960).

120188296800 is an abundant number, since it is smaller than the sum of its proper divisors (395748681120).

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

120188296800 is a wasteful number, since it uses less digits than its factorization.

120188296800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 120188296800 in words is "one hundred twenty billion, one hundred eighty-eight million, two hundred ninety-six thousand, eight hundred".