11332112400 has 540 divisors, whose sum is σ = 46109963952. Its totient is φ = 2569674240.

The previous prime is 11332112383. The next prime is 11332112401. The reversal of 11332112400 is 421123311.

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

It is not an unprimeable number, because it can be changed into a prime (11332112401) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 40042659 + ... + 40042941.

Almost surely, 2^11332112400 is an apocalyptic number.

11332112400 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 11332112400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23054981976).

11332112400 is an abundant number, since it is smaller than the sum of its proper divisors (34777851552).

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

11332112400 is a wasteful number, since it uses less digits than its factorization.

11332112400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11332112400 its reverse (421123311), we get a palindrome (11753235711).

The spelling of 11332112400 in words is "eleven billion, three hundred thirty-two million, one hundred twelve thousand, four hundred".