120413112320 has 96 divisors (see below), whose sum is σ = 289197941760. Its totient is φ = 48119070720.

The previous prime is 120413112319. The next prime is 120413112341. The reversal of 120413112320 is 23211314021.

It is a super-3 number, since 3×120413112320³ (a number of 34 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 120413112292 and 120413112301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11904065 + ... + 11914175.

It is an arithmetic number, because the mean of its divisors is an integer number (3012478560).

Almost surely, 2^120413112320 is an apocalyptic number.

120413112320 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 120413112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144598970880).

120413112320 is an abundant number, since it is smaller than the sum of its proper divisors (168784829440).

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

120413112320 is a wasteful number, since it uses less digits than its factorization.

120413112320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11301 (or 11281 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 120413112320 its reverse (23211314021), we get a palindrome (143624426341).

The spelling of 120413112320 in words is "one hundred twenty billion, four hundred thirteen million, one hundred twelve thousand, three hundred twenty".