120300331120 has 80 divisors (see below), whose sum is σ = 292047780960. Its totient is φ = 46026509312.

The previous prime is 120300331069. The next prime is 120300331169. The reversal of 120300331120 is 21133003021.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 120300331094 and 120300331103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5934 + ... + 490546.

It is an arithmetic number, because the mean of its divisors is an integer number (3650597262).

Almost surely, 2^120300331120 is an apocalyptic number.

120300331120 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 120300331120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146023890480).

120300331120 is an abundant number, since it is smaller than the sum of its proper divisors (171747449840).

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

120300331120 is a wasteful number, since it uses less digits than its factorization.

120300331120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484762 (or 484756 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 120300331120 its reverse (21133003021), we get a palindrome (141433334141).

The spelling of 120300331120 in words is "one hundred twenty billion, three hundred million, three hundred thirty-one thousand, one hundred twenty".