12211231213200 has 240 divisors, whose sum is σ = 39292484064512. Its totient is φ = 3241719360000.

The previous prime is 12211231213127. The next prime is 12211231213219. The reversal of 12211231213200 is 231213211221.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×12211231213200² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 274442955 + ... + 274487445.

Almost surely, 2^{12211231213200} is an apocalyptic number.

12211231213200 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 12211231213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19646242032256).

12211231213200 is an abundant number, since it is smaller than the sum of its proper divisors (27081252851312).

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

12211231213200 is a wasteful number, since it uses less digits than its factorization.

12211231213200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45534 (or 45523 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 12211231213200 its reverse (231213211221), we get a palindrome (12442444424421).

The spelling of 12211231213200 in words is "twelve trillion, two hundred eleven billion, two hundred thirty-one million, two hundred thirteen thousand, two hundred".