2200122131200 has 432 divisors, whose sum is σ = 6275444845824. Its totient is φ = 748077465600.

The previous prime is 2200122131197. The next prime is 2200122131201. The reversal of 2200122131200 is 21312210022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (2200122131201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4772498970 + ... + 4772499430.

Almost surely, 2^{2200122131200} is an apocalyptic number.

2200122131200 is a gapful number since it is divisible by the number (20) 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 2200122131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3137722422912).

2200122131200 is an abundant number, since it is smaller than the sum of its proper divisors (4075322714624).

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

2200122131200 is a wasteful number, since it uses less digits than its factorization.

2200122131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 2200122131200 its reverse (21312210022), we get a palindrome (2221434341222).

The spelling of 2200122131200 in words is "two trillion, two hundred billion, one hundred twenty-two million, one hundred thirty-one thousand, two hundred".