120775140 has 144 divisors (see below), whose sum is σ = 401572080. Its totient is φ = 29245440.

The previous prime is 120775129. The next prime is 120775147. The reversal of 120775140 is 41577021.

It can be written as a sum of positive squares in 8 ways, for example, as 1004004 + 119771136 = 1002^2 + 10944^2 .

It is not an unprimeable number, because it can be changed into a prime (120775147) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88060 + ... + 89420.

It is an arithmetic number, because the mean of its divisors is an integer number (2788695).

Almost surely, 2^120775140 is an apocalyptic number.

120775140 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 120775140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200786040).

120775140 is an abundant number, since it is smaller than the sum of its proper divisors (280796940).

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

120775140 is a wasteful number, since it uses less digits than its factorization.

120775140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1422 (or 1417 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 120775140 is about 10989.7743379926. The cubic root of 120775140 is about 494.3021694291.

The spelling of 120775140 in words is "one hundred twenty million, seven hundred seventy-five thousand, one hundred forty".