122240920122 has 224 divisors, whose sum is σ = 303986908800. Its totient is φ = 36677494656.

The previous prime is 122240920117. The next prime is 122240920129. The reversal of 122240920122 is 221029042221.

122240920122 is a `hidden beast` number, since 1 + 222 + 409 + 20 + 12 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (122240920129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 110225704 + ... + 110226812.

Almost surely, 2^122240920122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122240920122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151993454400).

122240920122 is an abundant number, since it is smaller than the sum of its proper divisors (181745988678).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122240920122 is a wasteful number, since it uses less digits than its factorization.

122240920122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344 (or 1329 counting only the distinct ones).

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

Adding to 122240920122 its reverse (221029042221), we get a palindrome (343269962343).

The spelling of 122240920122 in words is "one hundred twenty-two billion, two hundred forty million, nine hundred twenty thousand, one hundred twenty-two".