11111312200 has 192 divisors, whose sum is σ = 28100500560. Its totient is φ = 4070277120.

The previous prime is 11111312161. The next prime is 11111312207. The reversal of 11111312200 is 221311111.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 87572164 + 11023740036 = 9358^2 + 104994^2 .

It is a super-2 number, since 2×11111312200² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11111312207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35499244 + ... + 35499556.

Almost surely, 2^11111312200 is an apocalyptic number.

11111312200 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 11111312200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14050250280).

11111312200 is an abundant number, since it is smaller than the sum of its proper divisors (16989188360).

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

11111312200 is a wasteful number, since it uses less digits than its factorization.

11111312200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 11111312200 its reverse (221311111), we get a palindrome (11332623311).

The spelling of 11111312200 in words is "eleven billion, one hundred eleven million, three hundred twelve thousand, two hundred".