122200012120221 has 80 divisors (see below), whose sum is σ = 217737963404544. Its totient is φ = 66779140386816.

The previous prime is 122200012120181. The next prime is 122200012120229. The reversal of 122200012120221 is 122021210002221.

It is a happy number.

122200012120221 is a `hidden beast` number, since 12 + 220 + 0 + 0 + 1 + 212 + 0 + 221 = 666.

It is not a de Polignac number, because 122200012120221 - 2¹⁴ = 122200012103837 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122200012120194 and 122200012120203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122200012120229) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 64175355 + ... + 66052071.

Almost surely, 2^{122200012120221} is an apocalyptic number.

It is an amenable number.

122200012120221 is a deficient number, since it is larger than the sum of its proper divisors (95537951284323).

122200012120221 is a wasteful number, since it uses less digits than its factorization.

122200012120221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1881752 (or 1881743 counting only the distinct ones).

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

Adding to 122200012120221 its reverse (122021210002221), we get a palindrome (244221222122442).

The spelling of 122200012120221 in words is "one hundred twenty-two trillion, two hundred billion, twelve million, one hundred twenty thousand, two hundred twenty-one".