210022202220012 has 576 divisors, whose sum is σ = 676494880588800. Its totient is φ = 53457810278400.

The previous prime is 210022202219989. The next prime is 210022202220013.

210022202220012 is a `hidden beast` number, since 210 + 0 + 2 + 220 + 2 + 220 + 0 + 12 = 666.

210022202220012 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×210022202220012² (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 not an unprimeable number, because it can be changed into a prime (210022202220013) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21212216262 + ... + 21212226162.

It is an arithmetic number, because the mean of its divisors is an integer number (1174470278800).

Almost surely, 2^{210022202220012} 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 210022202220012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338247440294400).

210022202220012 is an abundant number, since it is smaller than the sum of its proper divisors (466472678368788).

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

210022202220012 is a wasteful number, since it uses less digits than its factorization.

210022202220012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11366 (or 11361 counting only the distinct ones).

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

It can be divided in two parts, 21002220 and 2220012, that added together give a palindrome (23222232).

The spelling of 210022202220012 in words is "two hundred ten trillion, twenty-two billion, two hundred two million, two hundred twenty thousand, twelve".