2002220131122 has 12 divisors (see below), whose sum is σ = 4338143617470. Its totient is φ = 667406710368.

The previous prime is 2002220131049. The next prime is 2002220131133. The reversal of 2002220131122 is 2211310222002.

It can be written as a sum of positive squares in only one way, i.e., 1992103593561 + 10116537561 = 1411419^2 + 100581^2 .

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: 111234451729 = 2002220131122 / (2 + 0 + 0 + 2 + 2 + 2 + 0 + 1 + 3 + 1 + 1 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 2002220131095 and 2002220131104.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55617225847 + ... + 55617225882.

Almost surely, 2^{2002220131122} is an apocalyptic number.

2002220131122 is an abundant number, since it is smaller than the sum of its proper divisors (2335923486348).

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

2002220131122 is a wasteful number, since it uses less digits than its factorization.

2002220131122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111234451737 (or 111234451734 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2002220131122 its reverse (2211310222002), we get a palindrome (4213530353124).

The spelling of 2002220131122 in words is "two trillion, two billion, two hundred twenty million, one hundred thirty-one thousand, one hundred twenty-two".