122505204345552 has 100 divisors (see below), whose sum is σ = 405217832040736. Its totient is φ = 35001486953280.

The previous prime is 122505204345539. The next prime is 122505204345599. The reversal of 122505204345552 is 255543402505221.

122505204345552 is a `hidden beast` number, since 1 + 2 + 2 + 5 + 0 + 52 + 0 + 4 + 3 + 45 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 122505204345498 and 122505204345507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6751820974 + ... + 6751839117.

Almost surely, 2^{122505204345552} is an apocalyptic number.

122505204345552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122505204345552 is an abundant number, since it is smaller than the sum of its proper divisors (282712627695184).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122505204345552 is a wasteful number, since it uses less digits than its factorization.

122505204345552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13503660118 (or 13503660103 counting only the distinct ones).

The product of its (nonzero) digits is 2400000, while the sum is 45.

The spelling of 122505204345552 in words is "one hundred twenty-two trillion, five hundred five billion, two hundred four million, three hundred forty-five thousand, five hundred fifty-two".