120406081888152 has 128 divisors (see below), whose sum is σ = 337599576000000. Its totient is φ = 39758799777408.

The previous prime is 120406081888091. The next prime is 120406081888159. The reversal of 120406081888152 is 251888180604021.

120406081888152 is a `hidden beast` number, since 1 + 2 + 0 + 4 + 0 + 608 + 18 + 8 + 8 + 15 + 2 = 666.

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 (120406081888159) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 756815349 + ... + 756974427.

It is an arithmetic number, because the mean of its divisors is an integer number (2637496687500).

Almost surely, 2^{120406081888152} is an apocalyptic number.

120406081888152 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 120406081888152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168799788000000).

120406081888152 is an abundant number, since it is smaller than the sum of its proper divisors (217193494111848).

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

120406081888152 is a wasteful number, since it uses less digits than its factorization.

120406081888152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191950 (or 191940 counting only the distinct ones).

The product of its (nonzero) digits is 1966080, while the sum is 54.

The spelling of 120406081888152 in words is "one hundred twenty trillion, four hundred six billion, eighty-one million, eight hundred eighty-eight thousand, one hundred fifty-two".