122344050443121 has 40 divisors (see below), whose sum is σ = 196833649384680. Its totient is φ = 75283193207808.

The previous prime is 122344050443101. The next prime is 122344050443177. The reversal of 122344050443121 is 121344050443221.

122344050443121 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 4 + 40 + 50 + 443 + 121 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 143428838400 + 122200621604721 = 378720^2 + 11054439^2 .

It is not a de Polignac number, because 122344050443121 - 2⁵ = 122344050443089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122344050443101) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10361121 + ... + 18762753.

It is an arithmetic number, because the mean of its divisors is an integer number (4920841234617).

Almost surely, 2^{122344050443121} is an apocalyptic number.

It is an amenable number.

122344050443121 is a deficient number, since it is larger than the sum of its proper divisors (74489598941559).

122344050443121 is a wasteful number, since it uses less digits than its factorization.

122344050443121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8415487 (or 8415478 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 122344050443121 in words is "one hundred twenty-two trillion, three hundred forty-four billion, fifty million, four hundred forty-three thousand, one hundred twenty-one".