120254112320 has 112 divisors (see below), whose sum is σ = 288563688048. Its totient is φ = 47731507200.

The previous prime is 120254112301. The next prime is 120254112331. The reversal of 120254112320 is 23211452021.

It can be written as a sum of positive squares in 8 ways, for example, as 20837499904 + 99416612416 = 144352^2 + 315304^2 .

It is a super-2 number, since 2×120254112320² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60337244 + ... + 60339236.

Almost surely, 2^120254112320 is an apocalyptic number.

120254112320 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 120254112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144281844024).

120254112320 is an abundant number, since it is smaller than the sum of its proper divisors (168309575728).

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

120254112320 is a wasteful number, since it uses less digits than its factorization.

120254112320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3368 (or 3358 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

Adding to 120254112320 its reverse (23211452021), we get a palindrome (143465564341).

The spelling of 120254112320 in words is "one hundred twenty billion, two hundred fifty-four million, one hundred twelve thousand, three hundred twenty".