11312132123200 has 42 divisors (see below), whose sum is σ = 27834915109586. Its totient is φ = 4524852848640.

The previous prime is 11312132123167. The next prime is 11312132123207. The reversal of 11312132123200 is 232123121311.

11312132123200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 20542915584 + 11291589207616 = 143328^2 + 3360296^2 .

It is not an unprimeable number, because it can be changed into a prime (11312132123207) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3535039689 + ... + 3535042888.

Almost surely, 2^{11312132123200} is an apocalyptic number.

11312132123200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11312132123200 is an abundant number, since it is smaller than the sum of its proper divisors (16522782986386).

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

11312132123200 is an equidigital number, since it uses as much as digits as its factorization.

11312132123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7070082599 (or 7070082584 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 11312132123200 its reverse (232123121311), we get a palindrome (11544255244511).

The spelling of 11312132123200 in words is "eleven trillion, three hundred twelve billion, one hundred thirty-two million, one hundred twenty-three thousand, two hundred".