122252121 has 6 divisors (see below), whose sum is σ = 176586410. Its totient is φ = 81501408.

The previous prime is 122252089. The next prime is 122252147. The reversal of 122252121 is 121252221.

122252121 is a `hidden beast` number, since 122 + 2 + 521 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 66585600 + 55666521 = 8160^2 + 7461^2 .

It is not a de Polignac number, because 122252121 - 2⁵ = 122252089 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 122252094 and 122252103.

It is not an unprimeable number, because it can be changed into a prime (122252621) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6791776 + ... + 6791793.

Almost surely, 2^122252121 is an apocalyptic number.

It is an amenable number.

122252121 is a deficient number, since it is larger than the sum of its proper divisors (54334289).

122252121 is a wasteful number, since it uses less digits than its factorization.

122252121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13583575 (or 13583572 counting only the distinct ones).

The product of its digits is 160, while the sum is 18.

The square root of 122252121 is about 11056.7681082674. The cubic root of 122252121 is about 496.3089811396.

The spelling of 122252121 in words is "one hundred twenty-two million, two hundred fifty-two thousand, one hundred twenty-one".