11331104112400 has 60 divisors (see below), whose sum is σ = 27472729824100. Its totient is φ = 4490859594240.

The previous prime is 11331104112379. The next prime is 11331104112421. The reversal of 11331104112400 is 421140113311.

It is an interprime number because it is at equal distance from previous prime (11331104112379) and next prime (11331104112421).

It can be written as a sum of positive squares in 6 ways, for example, as 1323042855696 + 10008061256704 = 1150236^2 + 3163552^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 129900255 + ... + 129987454.

Almost surely, 2^{11331104112400} is an apocalyptic number.

11331104112400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11331104112400 is an abundant number, since it is smaller than the sum of its proper divisors (16141625711700).

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

11331104112400 is a wasteful number, since it uses less digits than its factorization.

11331104112400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259887836 (or 259887825 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 11331104112400 its reverse (421140113311), we get a palindrome (11752244225711).

The spelling of 11331104112400 in words is "eleven trillion, three hundred thirty-one billion, one hundred four million, one hundred twelve thousand, four hundred".