120838410 has 288 divisors, whose sum is σ = 414865152. Its totient is φ = 24111360.

The previous prime is 120838387. The next prime is 120838441. The reversal of 120838410 is 14838021.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2279944 + ... + 2279996.

It is an arithmetic number, because the mean of its divisors is an integer number (1440504).

Almost surely, 2^120838410 is an apocalyptic number.

120838410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120838410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207432576).

120838410 is an abundant number, since it is smaller than the sum of its proper divisors (294026742).

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

120838410 is a wasteful number, since it uses less digits than its factorization.

120838410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 120838410 is about 10992.6525461328. The cubic root of 120838410 is about 494.3884704085.

The spelling of 120838410 in words is "one hundred twenty million, eight hundred thirty-eight thousand, four hundred ten".