120193024 has 72 divisors (see below), whose sum is σ = 276823008. Its totient is φ = 51118080.

The previous prime is 120193019. The next prime is 120193037. The reversal of 120193024 is 420391021.

It is a junction number, because it is equal to n+sod(n) for n = 120192986 and 120193004.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 917439 + ... + 917569.

It is an arithmetic number, because the mean of its divisors is an integer number (3844764).

Almost surely, 2^120193024 is an apocalyptic number.

120193024 is a gapful number since it is divisible by the number (14) 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 120193024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138411504).

120193024 is an abundant number, since it is smaller than the sum of its proper divisors (156629984).

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

120193024 is an frugal number, since it uses more digits than its factorization.

120193024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 120193024 is about 10963.2579099463. The cubic root of 120193024 is about 493.5067388140.

The spelling of 120193024 in words is "one hundred twenty million, one hundred ninety-three thousand, twenty-four".