202202212112012 has 384 divisors, whose sum is σ = 446851399680000. Its totient is φ = 79851311447040.

The previous prime is 202202212112011. The next prime is 202202212112059. The reversal of 202202212112012 is 210211212202202.

It is a super-5 number, since 5×202202212112012⁵ (a number of 73 digits) contains 55555 as substring.

It is not an unprimeable number, because it can be changed into a prime (202202212112011) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34393977689 + ... + 34393983567.

It is an arithmetic number, because the mean of its divisors is an integer number (1163675520000).

Almost surely, 2^{202202212112012} 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 202202212112012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223425699840000).

202202212112012 is an abundant number, since it is smaller than the sum of its proper divisors (244649187567988).

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

202202212112012 is a wasteful number, since it uses less digits than its factorization.

202202212112012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6414 (or 6398 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 202202212112012 its reverse (210211212202202), we get a palindrome (412413424314214).

The spelling of 202202212112012 in words is "two hundred two trillion, two hundred two billion, two hundred twelve million, one hundred twelve thousand, twelve".