120845520 has 200 divisors, whose sum is σ = 444808584. Its totient is φ = 30302208.

The previous prime is 120845497. The next prime is 120845521. The reversal of 120845520 is 25548021.

It is a happy number.

120845520 is a `hidden beast` number, since 1 + 208 + 455 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14837904 + 106007616 = 3852^2 + 10296^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120845521) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 109612 + ... + 110708.

Almost surely, 2^120845520 is an apocalyptic number.

120845520 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 120845520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222404292).

120845520 is an abundant number, since it is smaller than the sum of its proper divisors (323963064).

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

120845520 is a wasteful number, since it uses less digits than its factorization.

120845520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1139 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 120845520 is about 10992.9759392077. The cubic root of 120845520 is about 494.3981666442.

The spelling of 120845520 in words is "one hundred twenty million, eight hundred forty-five thousand, five hundred twenty".