120193040 has 80 divisors (see below), whose sum is σ = 309194496. Its totient is φ = 43084800.

The previous prime is 120193039. The next prime is 120193063. The reversal of 120193040 is 40391021.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63305 + ... + 65175.

Almost surely, 2^120193040 is an apocalyptic number.

120193040 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 120193040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154597248).

120193040 is an abundant number, since it is smaller than the sum of its proper divisors (189001456).

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

120193040 is a wasteful number, since it uses less digits than its factorization.

120193040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1968 (or 1962 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 120193040 is about 10963.2586396564. The cubic root of 120193040 is about 493.5067607124.

The spelling of 120193040 in words is "one hundred twenty million, one hundred ninety-three thousand, forty".