12200012002122 has 96 divisors (see below), whose sum is σ = 29302866869760. Its totient is φ = 3372865090560.

The previous prime is 12200012002111. The next prime is 12200012002133. The reversal of 12200012002122 is 22120021000221.

It is an interprime number because it is at equal distance from previous prime (12200012002111) and next prime (12200012002133).

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 47 ways as a sum of consecutive naturals, for example, 79114518 + ... + 79268574.

It is an arithmetic number, because the mean of its divisors is an integer number (305238196560).

Almost surely, 2^{12200012002122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12200012002122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14651433434880).

12200012002122 is an abundant number, since it is smaller than the sum of its proper divisors (17102854867638).

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

12200012002122 is a wasteful number, since it uses less digits than its factorization.

12200012002122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162796 (or 162789 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 12200012002122 its reverse (22120021000221), we get a palindrome (34320033002343).

The spelling of 12200012002122 in words is "twelve trillion, two hundred billion, twelve million, two thousand, one hundred twenty-two".