22122220012002 has 96 divisors (see below), whose sum is σ = 54049119156480. Its totient is φ = 6702064221600.

The previous prime is 22122220012001. The next prime is 22122220012003. The reversal of 22122220012002 is 20021002222122.

22122220012002 is a `hidden beast` number, since 221 + 22 + 220 + 0 + 1 + 200 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (22122220012001) and next prime (22122220012003).

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 (22122220012001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26449488 + ... + 27273060.

It is an arithmetic number, because the mean of its divisors is an integer number (563011657880).

Almost surely, 2^{22122220012002} is an apocalyptic number.

22122220012002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22122220012002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27024559578240).

22122220012002 is an abundant number, since it is smaller than the sum of its proper divisors (31926899144478).

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

22122220012002 is a wasteful number, since it uses less digits than its factorization.

22122220012002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827717 (or 827700 counting only the distinct ones).

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

Adding to 22122220012002 its reverse (20021002222122), we get a palindrome (42143222234124).

The spelling of 22122220012002 in words is "twenty-two trillion, one hundred twenty-two billion, two hundred twenty million, twelve thousand, two".