120413217600 has 672 divisors, whose sum is σ = 476219520000. Its totient is φ = 29420789760.

The previous prime is 120413217559. The next prime is 120413217679. The reversal of 120413217600 is 6712314021.

120413217600 is a `hidden beast` number, since 1 + 2 + 0 + 41 + 3 + 2 + 17 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 83677681 + ... + 83679119.

It is an arithmetic number, because the mean of its divisors is an integer number (708660000).

Almost surely, 2^120413217600 is an apocalyptic number.

120413217600 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 120413217600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238109760000).

120413217600 is an abundant number, since it is smaller than the sum of its proper divisors (355806302400).

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

120413217600 is a wasteful number, since it uses less digits than its factorization.

120413217600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1632 (or 1611 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 120413217600 in words is "one hundred twenty billion, four hundred thirteen million, two hundred seventeen thousand, six hundred".