120448188 has 96 divisors (see below), whose sum is σ = 360460800. Its totient is φ = 34069248.

The previous prime is 120448129. The next prime is 120448193. The reversal of 120448188 is 881844021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80148 + ... + 81636.

It is an arithmetic number, because the mean of its divisors is an integer number (3754800).

Almost surely, 2^120448188 is an apocalyptic number.

120448188 is a gapful number since it is divisible by the number (18) 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 120448188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180230400).

120448188 is an abundant number, since it is smaller than the sum of its proper divisors (240012612).

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

120448188 is a wasteful number, since it uses less digits than its factorization.

120448188 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1616 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 120448188 is about 10974.8889743815. Note that the first 3 decimals coincide. The cubic root of 120448188 is about 493.8557223164.

The spelling of 120448188 in words is "one hundred twenty million, four hundred forty-eight thousand, one hundred eighty-eight".