122221122221331 has 24 divisors (see below), whose sum is σ = 201762325206624. Its totient is φ = 69840477659520.

The previous prime is 122221122221309. The next prime is 122221122221347. The reversal of 122221122221331 is 133122221122221.

122221122221331 is a `hidden beast` number, since 1 + 2 + 2 + 221 + 1 + 222 + 213 + 3 + 1 = 666.

122221122221331 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 122221122221331 - 2⁵ = 122221122221299 is a prime.

It is a super-2 number, since 2×122221122221331² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122221122221295 and 122221122221304.

It is not an unprimeable number, because it can be changed into a prime (122221122221531) 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, 28012125 + ... + 32079921.

It is an arithmetic number, because the mean of its divisors is an integer number (8406763550276).

Almost surely, 2^{122221122221331} is an apocalyptic number.

122221122221331 is a deficient number, since it is larger than the sum of its proper divisors (79541202985293).

122221122221331 is a wasteful number, since it uses less digits than its factorization.

122221122221331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4544731 (or 4544728 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

Adding to 122221122221331 its reverse (133122221122221), we get a palindrome (255343343343552).

The spelling of 122221122221331 in words is "one hundred twenty-two trillion, two hundred twenty-one billion, one hundred twenty-two million, two hundred twenty-one thousand, three hundred thirty-one".