120090831552 has 224 divisors, whose sum is σ = 373328793600. Its totient is φ = 37793433600.

The previous prime is 120090831551. The next prime is 120090831599. The reversal of 120090831552 is 255138090021.

120090831552 is a `hidden beast` number, since 1 + 20 + 0 + 9 + 0 + 83 + 1 + 552 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (120090831551) 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, 2168949 + ... + 2223627.

It is an arithmetic number, because the mean of its divisors is an integer number (1666646400).

Almost surely, 2^120090831552 is an apocalyptic number.

120090831552 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 120090831552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186664396800).

120090831552 is an abundant number, since it is smaller than the sum of its proper divisors (253237962048).

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

120090831552 is a wasteful number, since it uses less digits than its factorization.

120090831552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54772 (or 54756 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 120090831552 in words is "one hundred twenty billion, ninety million, eight hundred thirty-one thousand, five hundred fifty-two".