122313144104415 has 144 divisors (see below), whose sum is σ = 234918458506368. Its totient is φ = 58824754560000.

The previous prime is 122313144104413. The next prime is 122313144104453. The reversal of 122313144104415 is 514401441313221.

122313144104415 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 131 + 4 + 4 + 104 + 415 = 666.

It is not a de Polignac number, because 122313144104415 - 2¹ = 122313144104413 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122313144104415.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122313144104413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 970437450 + ... + 970563480.

It is an arithmetic number, because the mean of its divisors is an integer number (1631378184072).

Almost surely, 2^{122313144104415} is an apocalyptic number.

122313144104415 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

122313144104415 is a deficient number, since it is larger than the sum of its proper divisors (112605314401953).

122313144104415 is a wasteful number, since it uses less digits than its factorization.

122313144104415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127502 (or 127488 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 122313144104415 its reverse (514401441313221), we get a palindrome (636714585417636).

The spelling of 122313144104415 in words is "one hundred twenty-two trillion, three hundred thirteen billion, one hundred forty-four million, one hundred four thousand, four hundred fifteen".