120047599870200 has 240 divisors, whose sum is σ = 416960346033000. Its totient is φ = 32011369102080.

The previous prime is 120047599870123. The next prime is 120047599870201. The reversal of 120047599870200 is 2078995740021.

120047599870200 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 47 + 599 + 8 + 7 + 0 + 2 + 0 + 0 = 666.

It is a super-2 number, since 2×120047599870200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120047599870201) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 428495766 + ... + 428775834.

Almost surely, 2^{120047599870200} is an apocalyptic number.

120047599870200 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 120047599870200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208480173016500).

120047599870200 is an abundant number, since it is smaller than the sum of its proper divisors (296912746162800).

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

120047599870200 is a wasteful number, since it uses less digits than its factorization.

120047599870200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306556 (or 306538 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 120047599870200 in words is "one hundred twenty trillion, forty-seven billion, five hundred ninety-nine million, eight hundred seventy thousand, two hundred".