120427091521920 has 640 divisors, whose sum is σ = 431975872817280. Its totient is φ = 31971527884800.

The previous prime is 120427091521879. The next prime is 120427091521927. The reversal of 120427091521920 is 29125190724021.

120427091521920 is a `hidden beast` number, since 1 + 2 + 0 + 427 + 0 + 9 + 1 + 5 + 219 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120427091521927) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 26875046080 + ... + 26875050560.

It is an arithmetic number, because the mean of its divisors is an integer number (674962301277).

Almost surely, 2^{120427091521920} is an apocalyptic number.

120427091521920 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 120427091521920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215987936408640).

120427091521920 is an abundant number, since it is smaller than the sum of its proper divisors (311548781295360).

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

120427091521920 is a wasteful number, since it uses less digits than its factorization.

120427091521920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6696 (or 6675 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 120427091521920 in words is "one hundred twenty trillion, four hundred twenty-seven billion, ninety-one million, five hundred twenty-one thousand, nine hundred twenty".