12201111214400 has 84 divisors (see below), whose sum is σ = 30754612112700. Its totient is φ = 4761409228800.

The previous prime is 12201111214339. The next prime is 12201111214423. The reversal of 12201111214400 is 441211110221.

It can be written as a sum of positive squares in 6 ways, for example, as 1310530406656 + 10890580807744 = 1144784^2 + 3300088^2 .

It is a super-2 number, since 2×12201111214400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92930675 + ... + 93061874.

It is an arithmetic number, because the mean of its divisors is an integer number (366126334675).

Almost surely, 2^{12201111214400} is an apocalyptic number.

12201111214400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12201111214400 is an abundant number, since it is smaller than the sum of its proper divisors (18553500898300).

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

12201111214400 is a wasteful number, since it uses less digits than its factorization.

12201111214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185992612 (or 185992597 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 12201111214400 its reverse (441211110221), we get a palindrome (12642322324621).

The spelling of 12201111214400 in words is "twelve trillion, two hundred one billion, one hundred eleven million, two hundred fourteen thousand, four hundred".