122588883648 has 840 divisors, whose sum is σ = 468245275344. Its totient is φ = 31352832000.

The previous prime is 122588883631. The next prime is 122588883661. The reversal of 122588883648 is 846388885221.

122588883648 is a `hidden beast` number, since 1 + 2 + 2 + 588 + 8 + 8 + 3 + 6 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 203974548 + ... + 203975148.

Almost surely, 2^122588883648 is an apocalyptic number.

122588883648 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 122588883648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234122637672).

122588883648 is an abundant number, since it is smaller than the sum of its proper divisors (345656391696).

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

122588883648 is a wasteful number, since it uses less digits than its factorization.

122588883648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 697 counting only the distinct ones).

The product of its digits is 47185920, while the sum is 63.

The spelling of 122588883648 in words is "one hundred twenty-two billion, five hundred eighty-eight million, eight hundred eighty-three thousand, six hundred forty-eight".