202200211122112 has 224 divisors, whose sum is σ = 498486757314560. Its totient is φ = 79412990976000.

The previous prime is 202200211122109. The next prime is 202200211122199. The reversal of 202200211122112 is 211221112002202.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 202200211122112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 601724062 + ... + 602060002.

It is an arithmetic number, because the mean of its divisors is an integer number (2225387309440).

Almost surely, 2^{202200211122112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202200211122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249243378657280).

202200211122112 is an abundant number, since it is smaller than the sum of its proper divisors (296286546192448).

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

202200211122112 is a wasteful number, since it uses less digits than its factorization.

202200211122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338291 (or 338281 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 202200211122112 its reverse (211221112002202), we get a palindrome (413421323124314).

The spelling of 202200211122112 in words is "two hundred two trillion, two hundred billion, two hundred eleven million, one hundred twenty-two thousand, one hundred twelve".