12200201122122 has 96 divisors (see below), whose sum is σ = 29537735834880. Its totient is φ = 3613512228480.

The previous prime is 12200201122111. The next prime is 12200201122141. The reversal of 12200201122122 is 22122110200221.

It is a happy number.

12200201122122 is a `hidden beast` number, since 1 + 220 + 0 + 201 + 1 + 221 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12200201122095 and 12200201122104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 469618 + ... + 4961949.

It is an arithmetic number, because the mean of its divisors is an integer number (307684748280).

Almost surely, 2^{12200201122122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12200201122122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14768867917440).

12200201122122 is an abundant number, since it is smaller than the sum of its proper divisors (17337534712758).

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

12200201122122 is a wasteful number, since it uses less digits than its factorization.

12200201122122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5431948 (or 5431945 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12200201122122 its reverse (22122110200221), we get a palindrome (34322311322343).

The spelling of 12200201122122 in words is "twelve trillion, two hundred billion, two hundred one million, one hundred twenty-two thousand, one hundred twenty-two".