122345013514042 has 128 divisors (see below), whose sum is σ = 227195321679360. Its totient is φ = 48706378997760.

The previous prime is 122345013513979. The next prime is 122345013514063. The reversal of 122345013514042 is 240415310543221.

It is a super-2 number, since 2×122345013514042² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a junction number, because it is equal to n+sod(n) for n = 122345013513992 and 122345013514010.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5782709728 + ... + 5782730884.

It is an arithmetic number, because the mean of its divisors is an integer number (1774963450620).

Almost surely, 2^{122345013514042} is an apocalyptic number.

122345013514042 is a deficient number, since it is larger than the sum of its proper divisors (104850308165318).

122345013514042 is a wasteful number, since it uses less digits than its factorization.

122345013514042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39416.

The product of its (nonzero) digits is 115200, while the sum is 37.

The spelling of 122345013514042 in words is "one hundred twenty-two trillion, three hundred forty-five billion, thirteen million, five hundred fourteen thousand, forty-two".