122553434523105 has 24 divisors (see below), whose sum is σ = 212427865353600. Its totient is φ = 65361243382560.

The previous prime is 122553434523097. The next prime is 122553434523131. The reversal of 122553434523105 is 501325434355221.

122553434523105 is a `hidden beast` number, since 1 + 2 + 2 + 5 + 53 + 43 + 452 + 3 + 105 = 666.

It is not a de Polignac number, because 122553434523105 - 2³ = 122553434523097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7179811 + ... + 17223720.

It is an arithmetic number, because the mean of its divisors is an integer number (8851161056400).

Almost surely, 2^{122553434523105} is an apocalyptic number.

122553434523105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122553434523105 is a deficient number, since it is larger than the sum of its proper divisors (89874430830495).

122553434523105 is a wasteful number, since it uses less digits than its factorization.

122553434523105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24515141 (or 24515138 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 45.

Adding to 122553434523105 its reverse (501325434355221), we get a palindrome (623878868878326).

The spelling of 122553434523105 in words is "one hundred twenty-two trillion, five hundred fifty-three billion, four hundred thirty-four million, five hundred twenty-three thousand, one hundred five".