122523054112032 has 48 divisors (see below), whose sum is σ = 367569162338112. Its totient is φ = 35006586888960.

The previous prime is 122523054112007. The next prime is 122523054112099. The reversal of 122523054112032 is 230211450325221.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 122523054111984 and 122523054112002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 91162986019 + ... + 91162987362.

It is an arithmetic number, because the mean of its divisors is an integer number (7657690882044).

Almost surely, 2^{122523054112032} is an apocalyptic number.

122523054112032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122523054112032 is an abundant number, since it is smaller than the sum of its proper divisors (245046108226080).

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

122523054112032 is a wasteful number, since it uses less digits than its factorization.

122523054112032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182325973401 (or 182325973393 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The spelling of 122523054112032 in words is "one hundred twenty-two trillion, five hundred twenty-three billion, fifty-four million, one hundred twelve thousand, thirty-two".