202122112200012 has 96 divisors (see below), whose sum is σ = 528164861280000. Its totient is φ = 66841852188672.

The previous prime is 202122112200011. The next prime is 202122112200031. The reversal of 202122112200012 is 210002211221202.

It is a happy number.

202122112200012 is a `hidden beast` number, since 20 + 212 + 211 + 220 + 0 + 0 + 1 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (202122112200011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16374039 + ... + 25929777.

It is an arithmetic number, because the mean of its divisors is an integer number (5501717305000).

Almost surely, 2^{202122112200012} 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 202122112200012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264082430640000).

202122112200012 is an abundant number, since it is smaller than the sum of its proper divisors (326042749079988).

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

202122112200012 is a wasteful number, since it uses less digits than its factorization.

202122112200012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9557300 (or 9557292 counting only the distinct ones).

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

Adding to 202122112200012 its reverse (210002211221202), we get a palindrome (412124323421214).

The spelling of 202122112200012 in words is "two hundred two trillion, one hundred twenty-two billion, one hundred twelve million, two hundred thousand, twelve".