120873513600 has 1440 divisors, whose sum is σ = 537356856960. Its totient is φ = 26649907200.

The previous prime is 120873513599. The next prime is 120873513617. The reversal of 120873513600 is 6315378021.

120873513600 is a `hidden beast` number, since 1 + 2 + 0 + 8 + 7 + 35 + 13 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×120873513600² (a number of 23 digits) contains 22 as substring.

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 179 ways as a sum of consecutive naturals, for example, 393724647 + ... + 393724953.

It is an arithmetic number, because the mean of its divisors is an integer number (373164484).

Almost surely, 2^120873513600 is an apocalyptic number.

120873513600 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 120873513600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268678428480).

120873513600 is an abundant number, since it is smaller than the sum of its proper divisors (416483343360).

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

120873513600 is a wasteful number, since it uses less digits than its factorization.

120873513600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 355 counting only the distinct ones).

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

The spelling of 120873513600 in words is "one hundred twenty billion, eight hundred seventy-three million, five hundred thirteen thousand, six hundred".