120414212320 has 48 divisors (see below), whose sum is σ = 301212617328. Its totient is φ = 45332408320.

The previous prime is 120414212311. The next prime is 120414212329. The reversal of 120414212320 is 23212414021.

It is an interprime number because it is at equal distance from previous prime (120414212311) and next prime (120414212329).

It is a junction number, because it is equal to n+sod(n) for n = 120414212291 and 120414212300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120414212329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22132246 + ... + 22137685.

It is an arithmetic number, because the mean of its divisors is an integer number (6275262861).

Almost surely, 2^120414212320 is an apocalyptic number.

120414212320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120414212320 is an abundant number, since it is smaller than the sum of its proper divisors (180798405008).

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

120414212320 is a wasteful number, since it uses less digits than its factorization.

120414212320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44269963 (or 44269955 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 120414212320 its reverse (23212414021), we get a palindrome (143626626341).

The spelling of 120414212320 in words is "one hundred twenty billion, four hundred fourteen million, two hundred twelve thousand, three hundred twenty".