122344044251121 has 96 divisors (see below), whose sum is σ = 220954056111360. Its totient is φ = 63374201971200.

The previous prime is 122344044251083. The next prime is 122344044251123. The reversal of 122344044251121 is 121152440443221.

122344044251121 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 4 + 40 + 442 + 51 + 121 = 666.

It is not a de Polignac number, because 122344044251121 - 2¹³ = 122344044242929 is a prime.

It is a super-3 number, since 3×122344044251121³ (a number of 43 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (122344044251123) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 348592795 + ... + 348943583.

It is an arithmetic number, because the mean of its divisors is an integer number (2301604751160).

Almost surely, 2^{122344044251121} is an apocalyptic number.

122344044251121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122344044251121 is a deficient number, since it is larger than the sum of its proper divisors (98610011860239).

122344044251121 is a wasteful number, since it uses less digits than its factorization.

122344044251121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352247 (or 352244 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

Adding to 122344044251121 its reverse (121152440443221), we get a palindrome (243496484694342).

The spelling of 122344044251121 in words is "one hundred twenty-two trillion, three hundred forty-four billion, forty-four million, two hundred fifty-one thousand, one hundred twenty-one".