12311013120000 has 960 divisors, whose sum is σ = 48913040816640. Its totient is φ = 2691465216000.

The previous prime is 12311013119963. The next prime is 12311013120041. The reversal of 12311013120000 is 2131011321.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×12311013120000² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 618230044 + ... + 618249956.

It is an arithmetic number, because the mean of its divisors is an integer number (50951084184).

Almost surely, 2^{12311013120000} is an apocalyptic number.

12311013120000 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 12311013120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24456520408320).

12311013120000 is an abundant number, since it is smaller than the sum of its proper divisors (36602027696640).

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

12311013120000 is an equidigital number, since it uses as much as digits as its factorization.

12311013120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19988 (or 19953 counting only the distinct ones).

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

Adding to 12311013120000 its reverse (2131011321), we get a palindrome (12313144131321).

The spelling of 12311013120000 in words is "twelve trillion, three hundred eleven billion, thirteen million, one hundred twenty thousand".