1220022112121 has 16 divisors (see below), whose sum is σ = 1251423810000. Its totient is φ = 1188699832320.

The previous prime is 1220022112069. The next prime is 1220022112151. The reversal of 1220022112121 is 1212112200221.

It can be written as a sum of positive squares in 8 ways, for example, as 8360542096 + 1211661570025 = 91436^2 + 1100755^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1220022112121 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1220022112121.

It is not an unprimeable number, because it can be changed into a prime (1220022112151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123767225 + ... + 123777081.

It is an arithmetic number, because the mean of its divisors is an integer number (78213988125).

Almost surely, 2^{1220022112121} is an apocalyptic number.

It is an amenable number.

1220022112121 is a deficient number, since it is larger than the sum of its proper divisors (31401697879).

1220022112121 is a wasteful number, since it uses less digits than its factorization.

1220022112121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13564.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 1220022112121 its reverse (1212112200221), we get a palindrome (2432134312342).

It can be divided in two parts, 12200221 and 12121, that multiplied together give a palindrome (147878878741).

The spelling of 1220022112121 in words is "one trillion, two hundred twenty billion, twenty-two million, one hundred twelve thousand, one hundred twenty-one".