11122412200 has 96 divisors (see below), whose sum is σ = 26101242360. Its totient is φ = 4407603200.

The previous prime is 11122412183. The next prime is 11122412201. The reversal of 11122412200 is 221422111.

It can be written as a sum of positive squares in 12 ways, for example, as 60000516 + 11062411684 = 7746^2 + 105178^2 .

It is not an unprimeable number, because it can be changed into a prime (11122412201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18026292 + ... + 18026908.

Almost surely, 2^11122412200 is an apocalyptic number.

11122412200 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 11122412200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13050621180).

11122412200 is an abundant number, since it is smaller than the sum of its proper divisors (14978830160).

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

11122412200 is a wasteful number, since it uses less digits than its factorization.

11122412200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1327 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 11122412200 its reverse (221422111), we get a palindrome (11343834311).

The spelling of 11122412200 in words is "eleven billion, one hundred twenty-two million, four hundred twelve thousand, two hundred".