122332710861648 has 1800 divisors, whose sum is σ = 438988942909440. Its totient is φ = 32754225208320.

The previous prime is 122332710861611. The next prime is 122332710861661. The reversal of 122332710861648 is 846168017233221.

122332710861648 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 3 + 2 + 7 + 10 + 8 + 616 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 122332710861594 and 122332710861603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 963249691761 + ... + 963249691887.

Almost surely, 2^{122332710861648} is an apocalyptic number.

122332710861648 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 122332710861648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219494471454720).

122332710861648 is an abundant number, since it is smaller than the sum of its proper divisors (316656232047792).

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

122332710861648 is a wasteful number, since it uses less digits than its factorization.

122332710861648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 122332710861648 in words is "one hundred twenty-two trillion, three hundred thirty-two billion, seven hundred ten million, eight hundred sixty-one thousand, six hundred forty-eight".