122312104145505 has 80 divisors (see below), whose sum is σ = 220209539172480. Its totient is φ = 64949389270272.

The previous prime is 122312104145479. The next prime is 122312104145509. The reversal of 122312104145505 is 505541401213221.

122312104145505 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 1 + 2 + 1 + 0 + 4 + 145 + 505 = 666.

It is not a de Polignac number, because 122312104145505 - 2⁸ = 122312104145249 is a prime.

It is a super-2 number, since 2×122312104145505² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 122312104145505.

It is not an unprimeable number, because it can be changed into a prime (122312104145509) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2538677506 + ... + 2538725684.

It is an arithmetic number, because the mean of its divisors is an integer number (2752619239656).

Almost surely, 2^{122312104145505} is an apocalyptic number.

122312104145505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122312104145505 is a deficient number, since it is larger than the sum of its proper divisors (97897435026975).

122312104145505 is a wasteful number, since it uses less digits than its factorization.

122312104145505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75332 (or 75323 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

Adding to 122312104145505 its reverse (505541401213221), we get a palindrome (627853505358726).

The spelling of 122312104145505 in words is "one hundred twenty-two trillion, three hundred twelve billion, one hundred four million, one hundred forty-five thousand, five hundred five".