11124131400 has 576 divisors, whose sum is σ = 41347800000. Its totient is φ = 2669967360.

The previous prime is 11124131393. The next prime is 11124131413. The reversal of 11124131400 is 413142111.

11124131400 is a `hidden beast` number, since 1 + 112 + 413 + 140 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 74658526 + ... + 74658674.

It is an arithmetic number, because the mean of its divisors is an integer number (71784375).

Almost surely, 2^11124131400 is an apocalyptic number.

11124131400 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 11124131400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20673900000).

11124131400 is an abundant number, since it is smaller than the sum of its proper divisors (30223668600).

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

11124131400 is a wasteful number, since it uses less digits than its factorization.

11124131400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 274 counting only the distinct ones).

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

Adding to 11124131400 its reverse (413142111), we get a palindrome (11537273511).

The spelling of 11124131400 in words is "eleven billion, one hundred twenty-four million, one hundred thirty-one thousand, four hundred".