12311101440000 has 2280 divisors, whose sum is σ = 52280893008960. Its totient is φ = 2854748160000.

The previous prime is 12311101439983. The next prime is 12311101440041. The reversal of 12311101440000 is 4410111321.

12311101440000 is a `hidden beast` number, since 123 + 1 + 1 + 101 + 440 + 0 + 0 + 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 119 ways as a sum of consecutive naturals, for example, 535265279989 + ... + 535265280011.

It is an arithmetic number, because the mean of its divisors is an integer number (22930216232).

Almost surely, 2^{12311101440000} is an apocalyptic number.

12311101440000 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 12311101440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26140446504480).

12311101440000 is an abundant number, since it is smaller than the sum of its proper divisors (39969791568960).

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

12311101440000 is an frugal number, since it uses more digits than its factorization.

12311101440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12311101440000 its reverse (4410111321), we get a palindrome (12315511551321).

The spelling of 12311101440000 in words is "twelve trillion, three hundred eleven billion, one hundred one million, four hundred forty thousand".