120049574112 has 288 divisors, whose sum is σ = 379909123776. Its totient is φ = 35726745600.

The previous prime is 120049574089. The next prime is 120049574119. The reversal of 120049574112 is 211475940021.

120049574112 is a `hidden beast` number, since 120 + 0 + 495 + 7 + 41 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120049574119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14084412 + ... + 14092932.

It is an arithmetic number, because the mean of its divisors is an integer number (1319128902).

Almost surely, 2^120049574112 is an apocalyptic number.

120049574112 is a gapful number since it is divisible by the number (12) 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 120049574112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189954561888).

120049574112 is an abundant number, since it is smaller than the sum of its proper divisors (259859549664).

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

120049574112 is a wasteful number, since it uses less digits than its factorization.

120049574112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8674 (or 8663 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 120049574112 in words is "one hundred twenty billion, forty-nine million, five hundred seventy-four thousand, one hundred twelve".