12111122211200 has 384 divisors, whose sum is σ = 33405650964000. Its totient is φ = 4311707811840.

The previous prime is 12111122211179. The next prime is 12111122211211. The reversal of 12111122211200 is 211222111121.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 588108104 + ... + 588128696.

Almost surely, 2^{12111122211200} is an apocalyptic number.

12111122211200 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 12111122211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16702825482000).

12111122211200 is an abundant number, since it is smaller than the sum of its proper divisors (21294528752800).

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

12111122211200 is a wasteful number, since it uses less digits than its factorization.

12111122211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21222 (or 21205 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 12111122211200 its reverse (211222111121), we get a palindrome (12322344322321).

The spelling of 12111122211200 in words is "twelve trillion, one hundred eleven billion, one hundred twenty-two million, two hundred eleven thousand, two hundred".