12220002122121 has 24 divisors (see below), whose sum is σ = 17827108443144. Its totient is φ = 8065451097600.

The previous prime is 12220002122117. The next prime is 12220002122123. The reversal of 12220002122121 is 12122120002221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1653374218896 + 10566627903225 = 1285836^2 + 3250635^2 .

It is not a de Polignac number, because 12220002122121 - 2² = 12220002122117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12220002122094 and 12220002122103.

It is not an unprimeable number, because it can be changed into a prime (12220002122123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12921025 + ... + 13834481.

It is an arithmetic number, because the mean of its divisors is an integer number (742796185131).

Almost surely, 2^{12220002122121} is an apocalyptic number.

It is an amenable number.

12220002122121 is a deficient number, since it is larger than the sum of its proper divisors (5607106321023).

12220002122121 is a wasteful number, since it uses less digits than its factorization.

12220002122121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928281 (or 928278 counting only the distinct ones).

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

Adding to 12220002122121 its reverse (12122120002221), we get a palindrome (24342122124342).

The spelling of 12220002122121 in words is "twelve trillion, two hundred twenty billion, two million, one hundred twenty-two thousand, one hundred twenty-one".