11143112400 has 1080 divisors, whose sum is σ = 50623634880. Its totient is φ = 2209628160.

The previous prime is 11143112399. The next prime is 11143112411. The reversal of 11143112400 is 421134111.

11143112400 is a `hidden beast` number, since 1 + 114 + 311 + 240 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 301165182 + ... + 301165218.

It is an arithmetic number, because the mean of its divisors is an integer number (46873736).

Almost surely, 2^11143112400 is an apocalyptic number.

11143112400 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 11143112400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25311817440).

11143112400 is an abundant number, since it is smaller than the sum of its proper divisors (39480522480).

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

11143112400 is a wasteful number, since it uses less digits than its factorization.

11143112400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11143112400 its reverse (421134111), we get a palindrome (11564246511).

The spelling of 11143112400 in words is "eleven billion, one hundred forty-three million, one hundred twelve thousand, four hundred".