11142231200 has 72 divisors (see below), whose sum is σ = 27408870720. Its totient is φ = 4422828800.

The previous prime is 11142231193. The next prime is 11142231209. The reversal of 11142231200 is 213224111.

It is a super-2 number, since 2×11142231200² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11142231209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51641 + ... + 157959.

It is an arithmetic number, because the mean of its divisors is an integer number (380678760).

Almost surely, 2^11142231200 is an apocalyptic number.

11142231200 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 11142231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13704435360).

11142231200 is an abundant number, since it is smaller than the sum of its proper divisors (16266639520).

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

11142231200 is a wasteful number, since it uses less digits than its factorization.

11142231200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106470 (or 106457 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 11142231200 its reverse (213224111), we get a palindrome (11355455311).

The spelling of 11142231200 in words is "eleven billion, one hundred forty-two million, two hundred thirty-one thousand, two hundred".