122742363753 has 24 divisors (see below), whose sum is σ = 187344817920. Its totient is φ = 77279716800.

The previous prime is 122742363743. The next prime is 122742363767. The reversal of 122742363753 is 357363247221.

122742363753 is a `hidden beast` number, since 1 + 2 + 2 + 7 + 4 + 2 + 3 + 637 + 5 + 3 = 666.

It is not a de Polignac number, because 122742363753 - 2⁹ = 122742363241 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122742363699 and 122742363708.

It is not an unprimeable number, because it can be changed into a prime (122742363713) 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 23 ways as a sum of consecutive naturals, for example, 3736548 + ... + 3769253.

It is an arithmetic number, because the mean of its divisors is an integer number (7806034080).

Almost surely, 2^122742363753 is an apocalyptic number.

It is an amenable number.

122742363753 is a deficient number, since it is larger than the sum of its proper divisors (64602454167).

122742363753 is a wasteful number, since it uses less digits than its factorization.

122742363753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7505909 (or 7505906 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 45.

The spelling of 122742363753 in words is "one hundred twenty-two billion, seven hundred forty-two million, three hundred sixty-three thousand, seven hundred fifty-three".