11142122400 has 144 divisors (see below), whose sum is σ = 40297420800. Its totient is φ = 2971226880.

The previous prime is 11142122363. The next prime is 11142122413. The reversal of 11142122400 is 422124111.

11142122400 is a `hidden beast` number, since 1 + 1 + 1 + 421 + 2 + 240 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 236320 + ... + 279519.

It is an arithmetic number, because the mean of its divisors is an integer number (279843200).

Almost surely, 2^11142122400 is an apocalyptic number.

11142122400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11142122400 is an abundant number, since it is smaller than the sum of its proper divisors (29155298400).

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

11142122400 is a wasteful number, since it uses less digits than its factorization.

11142122400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515868 (or 515849 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 11142122400 its reverse (422124111), we get a palindrome (11564246511).

The spelling of 11142122400 in words is "eleven billion, one hundred forty-two million, one hundred twenty-two thousand, four hundred".