30311132012120 has 128 divisors (see below), whose sum is σ = 72272095257600. Its totient is φ = 11409361920000.

The previous prime is 30311132012087. The next prime is 30311132012137. The reversal of 30311132012120 is 2121023111303.

It is a happy number.

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 = 30311132012092 and 30311132012101.

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, 69792440 + ... + 70225400.

It is an arithmetic number, because the mean of its divisors is an integer number (564625744200).

Almost surely, 2^{30311132012120} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30311132012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36136047628800).

30311132012120 is an abundant number, since it is smaller than the sum of its proper divisors (41960963245480).

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

30311132012120 is a wasteful number, since it uses less digits than its factorization.

30311132012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433609 (or 433605 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 30311132012120 its reverse (2121023111303), we get a palindrome (32432155123423).

The spelling of 30311132012120 in words is "thirty trillion, three hundred eleven billion, one hundred thirty-two million, twelve thousand, one hundred twenty".