202200212022012 has 120 divisors (see below), whose sum is σ = 533825660768400. Its totient is φ = 66735874854144.

The previous prime is 202200212022001. The next prime is 202200212022037. The reversal of 202200212022012 is 210220212002202.

202200212022012 is a `hidden beast` number, since 2 + 0 + 220 + 0 + 212 + 0 + 220 + 12 = 666.

202200212022012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×202200212022012² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6031414 + ... + 20994722.

It is an arithmetic number, because the mean of its divisors is an integer number (4448547173070).

Almost surely, 2^{202200212022012} 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 202200212022012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266912830384200).

202200212022012 is an abundant number, since it is smaller than the sum of its proper divisors (331625448746388).

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

202200212022012 is a wasteful number, since it uses less digits than its factorization.

202200212022012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14963737 (or 14963726 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 202200212022012 its reverse (210220212002202), we get a palindrome (412420424024214).

The spelling of 202200212022012 in words is "two hundred two trillion, two hundred billion, two hundred twelve million, twenty-two thousand, twelve".