122112012212221 has 8 divisors (see below), whose sum is σ = 122221334475000. Its totient is φ = 122002708439040.

The previous prime is 122112012212137. The next prime is 122112012212227. The reversal of 122112012212221 is 122212210211221.

It can be written as a sum of positive squares in 4 ways, for example, as 2643505284996 + 119468506927225 = 1625886^2 + 10930165^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 122112012212221 - 2³¹ = 122109864728573 is a prime.

It is a super-2 number, since 2×122112012212221² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122112012212192 and 122112012212201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122112012212227) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8609181 + ... + 17842141.

It is an arithmetic number, because the mean of its divisors is an integer number (15277666809375).

Almost surely, 2^{122112012212221} is an apocalyptic number.

It is an amenable number.

122112012212221 is a deficient number, since it is larger than the sum of its proper divisors (109322262779).

122112012212221 is a wasteful number, since it uses less digits than its factorization.

122112012212221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9244799.

The product of its (nonzero) digits is 256, while the sum is 22.

Adding to 122112012212221 its reverse (122212210211221), we get a palindrome (244324222423442).

The spelling of 122112012212221 in words is "one hundred twenty-two trillion, one hundred twelve billion, twelve million, two hundred twelve thousand, two hundred twenty-one".