122112000022221 has 48 divisors (see below), whose sum is σ = 192567921841152. Its totient is φ = 73949973328800.

The previous prime is 122112000022213. The next prime is 122112000022223. The reversal of 122112000022221 is 122220000211221.

It is a happy number.

122112000022221 is a `hidden beast` number, since 1 + 221 + 1 + 200 + 0 + 0 + 22 + 221 = 666.

It is not a de Polignac number, because 122112000022221 - 2³ = 122112000022213 is a prime.

It is a super-2 number, since 2×122112000022221² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122112000022194 and 122112000022203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122112000022223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1216653186 + ... + 1216753548.

It is an arithmetic number, because the mean of its divisors is an integer number (4011831705024).

Almost surely, 2^{122112000022221} is an apocalyptic number.

122112000022221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122112000022221 is a deficient number, since it is larger than the sum of its proper divisors (70455921818931).

122112000022221 is a wasteful number, since it uses less digits than its factorization.

122112000022221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109774 (or 109771 counting only the distinct ones).

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

Adding to 122112000022221 its reverse (122220000211221), we get a palindrome (244332000233442).

The spelling of 122112000022221 in words is "one hundred twenty-two trillion, one hundred twelve billion, twenty-two thousand, two hundred twenty-one".