120838040 has 64 divisors (see below), whose sum is σ = 291483360. Its totient is φ = 44922880.

The previous prime is 120838013. The next prime is 120838049. The reversal of 120838040 is 40838021.

It is a super-2 number, since 2×120838040² = 29203663822083200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120838049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55370 + ... + 57510.

Almost surely, 2^120838040 is an apocalyptic number.

120838040 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 120838040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145741680).

120838040 is an abundant number, since it is smaller than the sum of its proper divisors (170645320).

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

120838040 is a wasteful number, since it uses less digits than its factorization.

120838040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2252 (or 2248 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 120838040 is about 10992.6357166969. The cubic root of 120838040 is about 494.3879658120.

The spelling of 120838040 in words is "one hundred twenty million, eight hundred thirty-eight thousand, forty".