120296332800 has 1080 divisors, whose sum is σ = 508149576792. Its totient is φ = 27095040000.

The previous prime is 120296332721. The next prime is 120296332801. The reversal of 120296332800 is 8233692021.

120296332800 is a `hidden beast` number, since 12 + 0 + 2 + 9 + 633 + 2 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120296332801) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 570124695 + ... + 570124905.

Almost surely, 2^120296332800 is an apocalyptic number.

120296332800 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 120296332800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254074788396).

120296332800 is an abundant number, since it is smaller than the sum of its proper divisors (387853243992).

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

120296332800 is a wasteful number, since it uses less digits than its factorization.

120296332800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 120296332800 in words is "one hundred twenty billion, two hundred ninety-six million, three hundred thirty-two thousand, eight hundred".