120442291200 has 2112 divisors, whose sum is σ = 577022115840. Its totient is φ = 23887872000.

The previous prime is 120442291157. The next prime is 120442291213. The reversal of 120442291200 is 2192244021.

120442291200 is a `hidden beast` number, since 12 + 0 + 442 + 2 + 9 + 1 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1649894364 + ... + 1649894436.

Almost surely, 2^120442291200 is an apocalyptic number.

120442291200 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 120442291200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288511057920).

120442291200 is an abundant number, since it is smaller than the sum of its proper divisors (456579824640).

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

120442291200 is a wasteful number, since it uses less digits than its factorization.

120442291200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 120442291200 in words is "one hundred twenty billion, four hundred forty-two million, two hundred ninety-one thousand, two hundred".