122648305248 has 288 divisors, whose sum is σ = 416412831744. Its totient is φ = 34784474112.

The previous prime is 122648305237. The next prime is 122648305289. The reversal of 122648305248 is 842503846221.

122648305248 is a `hidden beast` number, since 122 + 6 + 483 + 0 + 5 + 2 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7448961 + ... + 7465407.

It is an arithmetic number, because the mean of its divisors is an integer number (1445877888).

Almost surely, 2^122648305248 is an apocalyptic number.

122648305248 is a gapful number since it is divisible by the number (18) 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 122648305248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208206415872).

122648305248 is an abundant number, since it is smaller than the sum of its proper divisors (293764526496).

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

122648305248 is a wasteful number, since it uses less digits than its factorization.

122648305248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16616 (or 16596 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 122648305248 in words is "one hundred twenty-two billion, six hundred forty-eight million, three hundred five thousand, two hundred forty-eight".