122280725952 has 504 divisors, whose sum is σ = 456648320128. Its totient is φ = 31757806080.

The previous prime is 122280725947. The next prime is 122280725999. The reversal of 122280725952 is 259527082221.

It is a tau number, because it is divible by the number of its divisors (504).

It is a junction number, because it is equal to n+sod(n) for n = 122280725898 and 122280725907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13167903 + ... + 13177185.

Almost surely, 2^122280725952 is an apocalyptic number.

122280725952 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 122280725952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228324160064).

122280725952 is an abundant number, since it is smaller than the sum of its proper divisors (334367594176).

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

122280725952 is an equidigital number, since it uses as much as digits as its factorization.

122280725952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9339 (or 9306 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 122280725952 in words is "one hundred twenty-two billion, two hundred eighty million, seven hundred twenty-five thousand, nine hundred fifty-two".