120031000320 has 288 divisors, whose sum is σ = 477942796800. Its totient is φ = 24941445120.

The previous prime is 120031000307. The next prime is 120031000433. The reversal of 120031000320 is 23000130021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 120031000296 and 120031000305.

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, 92706 + ... + 498654.

It is an arithmetic number, because the mean of its divisors is an integer number (1659523600).

Almost surely, 2^120031000320 is an apocalyptic number.

120031000320 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 120031000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238971398400).

120031000320 is an abundant number, since it is smaller than the sum of its proper divisors (357911796480).

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

120031000320 is a wasteful number, since it uses less digits than its factorization.

120031000320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405991 (or 405977 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 120031000320 its reverse (23000130021), we get a palindrome (143031130341).

The spelling of 120031000320 in words is "one hundred twenty billion, thirty-one million, three hundred twenty", and thus it is an aban number.