12131122311000 has 768 divisors, whose sum is σ = 51154824913920. Its totient is φ = 2519078400000.

The previous prime is 12131122310927. The next prime is 12131122311031. The reversal of 12131122311000 is 11322113121.

12131122311000 is a `hidden beast` number, since 1 + 21 + 311 + 2 + 231 + 100 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1231456075 + ... + 1231465925.

It is an arithmetic number, because the mean of its divisors is an integer number (66607844940).

Almost surely, 2^{12131122311000} is an apocalyptic number.

12131122311000 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 12131122311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25577412456960).

12131122311000 is an abundant number, since it is smaller than the sum of its proper divisors (39023702602920).

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

12131122311000 is a wasteful number, since it uses less digits than its factorization.

12131122311000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11673 (or 11656 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 12131122311000 its reverse (11322113121), we get a palindrome (12142444424121).

The spelling of 12131122311000 in words is "twelve trillion, one hundred thirty-one billion, one hundred twenty-two million, three hundred eleven thousand".