122313142014345 has 48 divisors (see below), whose sum is σ = 215497599842304. Its totient is φ = 64160522640000.

The previous prime is 122313142014307. The next prime is 122313142014361. The reversal of 122313142014345 is 543410241313221.

122313142014345 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 1 + 3 + 14 + 201 + 434 + 5 = 666.

It is not a de Polignac number, because 122313142014345 - 2²¹ = 122313139917193 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46006120 + ... + 48592070.

It is an arithmetic number, because the mean of its divisors is an integer number (4489533330048).

Almost surely, 2^{122313142014345} is an apocalyptic number.

122313142014345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122313142014345 is a deficient number, since it is larger than the sum of its proper divisors (93184457827959).

122313142014345 is a wasteful number, since it uses less digits than its factorization.

122313142014345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2603254 (or 2603251 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 122313142014345 its reverse (543410241313221), we get a palindrome (665723383327566).

The spelling of 122313142014345 in words is "one hundred twenty-two trillion, three hundred thirteen billion, one hundred forty-two million, fourteen thousand, three hundred forty-five".