22122211012002 has 12 divisors (see below), whose sum is σ = 47931457192710. Its totient is φ = 7374070337328.

The previous prime is 22122211011991. The next prime is 22122211012009. The reversal of 22122211012002 is 20021011222122.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 20925766631961 + 1196444380041 = 4574469^2 + 1093821^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 1229011722889 = 22122211012002 / (2 + 2 + 1 + 2 + 2 + 2 + 1 + 1 + 0 + 1 + 2 + 0 + 0 + 2).

It is not an unprimeable number, because it can be changed into a prime (22122211012009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 614505861427 + ... + 614505861462.

Almost surely, 2^{22122211012002} is an apocalyptic number.

22122211012002 is an abundant number, since it is smaller than the sum of its proper divisors (25809246180708).

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

22122211012002 is a wasteful number, since it uses less digits than its factorization.

22122211012002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229011722897 (or 1229011722894 counting only the distinct ones).

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

Adding to 22122211012002 its reverse (20021011222122), we get a palindrome (42143222234124).

It can be divided in two parts, 2212221 and 1012002, that added together give a palindrome (3224223).

The spelling of 22122211012002 in words is "twenty-two trillion, one hundred twenty-two billion, two hundred eleven million, twelve thousand, two".