122125583204352 has 540 divisors, whose sum is σ = 436597442954400. Its totient is φ = 32208899014656.

The previous prime is 122125583204243. The next prime is 122125583204353. The reversal of 122125583204352 is 253402385521221.

122125583204352 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 2 + 5 + 583 + 20 + 43 + 5 + 2 = 666.

122125583204352 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 122125583204298 and 122125583204307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122125583204353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 174090399 + ... + 174790497.

Almost surely, 2^{122125583204352} is an apocalyptic number.

122125583204352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122125583204352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218298721477200).

122125583204352 is an abundant number, since it is smaller than the sum of its proper divisors (314471859750048).

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

122125583204352 is an equidigital number, since it uses as much as digits as its factorization.

122125583204352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700166 (or 700124 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 122125583204352 in words is "one hundred twenty-two trillion, one hundred twenty-five billion, five hundred eighty-three million, two hundred four thousand, three hundred fifty-two".