120024517872 has 160 divisors (see below), whose sum is σ = 373323089920. Its totient is φ = 32460445440.

The previous prime is 120024517849. The next prime is 120024517897. The reversal of 120024517872 is 278715420021.

It is a self number, because there is not a number n which added to its sum of digits gives 120024517872.

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, 8234463 + ... + 8249025.

It is an arithmetic number, because the mean of its divisors is an integer number (2333269312).

Almost surely, 2^120024517872 is an apocalyptic number.

120024517872 is a gapful number since it is divisible by the number (12) 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 120024517872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186661544960).

120024517872 is an abundant number, since it is smaller than the sum of its proper divisors (253298572048).

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

120024517872 is a wasteful number, since it uses less digits than its factorization.

120024517872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15891 (or 15885 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 39.

Adding to 120024517872 its reverse (278715420021), we get a palindrome (398739937893).

The spelling of 120024517872 in words is "one hundred twenty billion, twenty-four million, five hundred seventeen thousand, eight hundred seventy-two".