12311013120 has 288 divisors, whose sum is σ = 46891256832. Its totient is φ = 2691465216.

The previous prime is 12311013109. The next prime is 12311013157. The reversal of 12311013120 is 2131011321.

It is a happy number.

It is a super-2 number, since 2×12311013120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12311013120.

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, 608284 + ... + 628196.

It is an arithmetic number, because the mean of its divisors is an integer number (162816864).

Almost surely, 2^12311013120 is an apocalyptic number.

12311013120 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 12311013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23445628416).

12311013120 is an abundant number, since it is smaller than the sum of its proper divisors (34580243712).

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

12311013120 is a wasteful number, since it uses less digits than its factorization.

12311013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19967 (or 19953 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 12311013120 its reverse (2131011321), we get a palindrome (14442024441).

The spelling of 12311013120 in words is "twelve billion, three hundred eleven million, thirteen thousand, one hundred twenty".