12220001211200 has 84 divisors (see below), whose sum is σ = 30084088414380. Its totient is φ = 4885521776640.

The previous prime is 12220001211191. The next prime is 12220001211211. The reversal of 12220001211200 is 211210002221.

It can be written as a sum of positive squares in 6 ways, for example, as 1439443253824 + 10780557957376 = 1199768^2 + 3283376^2 .

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, 1221296 + ... + 5092304.

It is an arithmetic number, because the mean of its divisors is an integer number (358143909695).

Almost surely, 2^{12220001211200} is an apocalyptic number.

12220001211200 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 12220001211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15042044207190).

12220001211200 is an abundant number, since it is smaller than the sum of its proper divisors (17864087203180).

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

12220001211200 is a wasteful number, since it uses less digits than its factorization.

12220001211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3873004 (or 3872989 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12220001211200 its reverse (211210002221), we get a palindrome (12431211213421).

The spelling of 12220001211200 in words is "twelve trillion, two hundred twenty billion, one million, two hundred eleven thousand, two hundred".