12211114400 has 36 divisors (see below), whose sum is σ = 29810384982. Its totient is φ = 4884445440.

The previous prime is 12211114393. The next prime is 12211114429. The reversal of 12211114400 is 441111221.

It can be written as a sum of positive squares in 3 ways, for example, as 11664864016 + 546250384 = 108004^2 + 23372^2 .

It is a super-2 number, since 2×12211114400² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7631147 + ... + 7632746.

Almost surely, 2^12211114400 is an apocalyptic number.

12211114400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12211114400 is an abundant number, since it is smaller than the sum of its proper divisors (17599270582).

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

12211114400 is a wasteful number, since it uses less digits than its factorization.

12211114400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15263913 (or 15263900 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 12211114400 its reverse (441111221), we get a palindrome (12652225621).

The spelling of 12211114400 in words is "twelve billion, two hundred eleven million, one hundred fourteen thousand, four hundred".