122625254205 has 48 divisors (see below), whose sum is σ = 215705533680. Its totient is φ = 64434585600.

The previous prime is 122625254197. The next prime is 122625254221. The reversal of 122625254205 is 502452526221.

122625254205 is a `hidden beast` number, since 1 + 2 + 2 + 62 + 52 + 542 + 0 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 622521 + 122624631684 = 789^2 + 350178^2 .

It is not a de Polignac number, because 122625254205 - 2³ = 122625254197 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 122625254205.

It is a congruent 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, 1070925 + ... + 1179885.

It is an arithmetic number, because the mean of its divisors is an integer number (4493865285).

Almost surely, 2^122625254205 is an apocalyptic number.

122625254205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122625254205 is a deficient number, since it is larger than the sum of its proper divisors (93080279475).

122625254205 is a wasteful number, since it uses less digits than its factorization.

122625254205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109342 (or 109339 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 122625254205 in words is "one hundred twenty-two billion, six hundred twenty-five million, two hundred fifty-four thousand, two hundred five".