120295040 has 64 divisors (see below), whose sum is σ = 290583720. Its totient is φ = 47616000.

The previous prime is 120295027. The next prime is 120295051. The reversal of 120295040 is 40592021.

It can be written as a sum of positive squares in 4 ways, for example, as 87759424 + 32535616 = 9368^2 + 5704^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 120294997 and 120295015.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63710 + ... + 65570.

Almost surely, 2^120295040 is an apocalyptic number.

120295040 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 120295040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145291860).

120295040 is an abundant number, since it is smaller than the sum of its proper divisors (170288680).

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

120295040 is a wasteful number, since it uses less digits than its factorization.

120295040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1981 (or 1969 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 120295040 is about 10967.9095546964. The cubic root of 120295040 is about 493.6463235824.

The spelling of 120295040 in words is "one hundred twenty million, two hundred ninety-five thousand, forty".