12220332121200 has 960 divisors, whose sum is σ = 48876121728000. Its totient is φ = 2546593136640.

The previous prime is 12220332121177. The next prime is 12220332121211. The reversal of 12220332121200 is 212123302221.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 191 ways as a sum of consecutive naturals, for example, 1467198636 + ... + 1467206964.

It is an arithmetic number, because the mean of its divisors is an integer number (50912626800).

Almost surely, 2^{12220332121200} is an apocalyptic number.

12220332121200 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 12220332121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24438060864000).

12220332121200 is an abundant number, since it is smaller than the sum of its proper divisors (36655789606800).

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

12220332121200 is a wasteful number, since it uses less digits than its factorization.

12220332121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8722 (or 8711 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 12220332121200 its reverse (212123302221), we get a palindrome (12432455423421).

The spelling of 12220332121200 in words is "twelve trillion, two hundred twenty billion, three hundred thirty-two million, one hundred twenty-one thousand, two hundred".