120442511153232 has 80 divisors (see below), whose sum is σ = 345721158382080. Its totient is φ = 40146743881728.

The previous prime is 120442511153213. The next prime is 120442511153269. The reversal of 120442511153232 is 232351115244021.

120442511153232 is a `hidden beast` number, since 1 + 2 + 0 + 4 + 4 + 2 + 5 + 111 + 532 + 3 + 2 = 666.

It is a super-5 number, since 5×120442511153232⁵ (a number of 72 digits) contains 55555 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20447233 + ... + 25670495.

It is an arithmetic number, because the mean of its divisors is an integer number (4321514479776).

Almost surely, 2^{120442511153232} is an apocalyptic number.

120442511153232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120442511153232 is an abundant number, since it is smaller than the sum of its proper divisors (225278647228848).

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

120442511153232 is a wasteful number, since it uses less digits than its factorization.

120442511153232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5276657 (or 5276645 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 120442511153232 its reverse (232351115244021), we get a palindrome (352793626397253).

The spelling of 120442511153232 in words is "one hundred twenty trillion, four hundred forty-two billion, five hundred eleven million, one hundred fifty-three thousand, two hundred thirty-two".