11312012130000 has 200 divisors, whose sum is σ = 36573186184128. Its totient is φ = 3011869056000.

The previous prime is 11312012129969. The next prime is 11312012130011. The reversal of 11312012130000 is 3121021311.

It is a happy number.

11312012130000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (200).

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 39 ways as a sum of consecutive naturals, for example, 19118604 + ... + 19701396.

Almost surely, 2^{11312012130000} is an apocalyptic number.

11312012130000 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 11312012130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18286593092064).

11312012130000 is an abundant number, since it is smaller than the sum of its proper divisors (25261174054128).

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

11312012130000 is an equidigital number, since it uses as much as digits as its factorization.

11312012130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583471 (or 583450 counting only the distinct ones).

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

Adding to 11312012130000 its reverse (3121021311), we get a palindrome (11315133151311).

The spelling of 11312012130000 in words is "eleven trillion, three hundred twelve billion, twelve million, one hundred thirty thousand".