120216657600 has 1344 divisors, whose sum is σ = 506697569280. Its totient is φ = 27493171200.

The previous prime is 120216657599. The next prime is 120216657653. The reversal of 120216657600 is 6756612021.

It is a happy number.

120216657600 is a `hidden beast` number, since 1 + 2 + 0 + 21 + 66 + 576 + 0 + 0 = 666.

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

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, 529588687 + ... + 529588913.

It is an arithmetic number, because the mean of its divisors is an integer number (377007120).

Almost surely, 2^120216657600 is an apocalyptic number.

120216657600 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 120216657600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253348784640).

120216657600 is an abundant number, since it is smaller than the sum of its proper divisors (386480911680).

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

120216657600 is a wasteful number, since it uses less digits than its factorization.

120216657600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 120216657600 in words is "one hundred twenty billion, two hundred sixteen million, six hundred fifty-seven thousand, six hundred".