120049937916300 has 1152 divisors, whose sum is σ = 487594191974400. Its totient is φ = 24689257021440.

The previous prime is 120049937916299. The next prime is 120049937916361. The reversal of 120049937916300 is 3619739940021.

It is a happy number.

120049937916300 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 499 + 3 + 7 + 91 + 63 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 18275219416 + ... + 18275225984.

It is an arithmetic number, because the mean of its divisors is an integer number (423258847200).

Almost surely, 2^{120049937916300} is an apocalyptic number.

120049937916300 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 120049937916300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243797095987200).

120049937916300 is an abundant number, since it is smaller than the sum of its proper divisors (367544254058100).

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

120049937916300 is a wasteful number, since it uses less digits than its factorization.

120049937916300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9112 (or 9099 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The spelling of 120049937916300 in words is "one hundred twenty trillion, forty-nine billion, nine hundred thirty-seven million, nine hundred sixteen thousand, three hundred".