11032112400 has 240 divisors, whose sum is σ = 36480605568. Its totient is φ = 2847744000.

The previous prime is 11032112353. The next prime is 11032112407. The reversal of 11032112400 is 421123011.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11032112400.

It is not an unprimeable number, because it can be changed into a prime (11032112407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10699885 + ... + 10700915.

Almost surely, 2^11032112400 is an apocalyptic number.

11032112400 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 11032112400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18240302784).

11032112400 is an abundant number, since it is smaller than the sum of its proper divisors (25448493168).

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

11032112400 is a wasteful number, since it uses less digits than its factorization.

11032112400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1330 (or 1319 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 11032112400 its reverse (421123011), we get a palindrome (11453235411).

The spelling of 11032112400 in words is "eleven billion, thirty-two million, one hundred twelve thousand, four hundred".