122663759232 has 512 divisors, whose sum is σ = 406328832000. Its totient is φ = 32003776512.

The previous prime is 122663759177. The next prime is 122663759243. The reversal of 122663759232 is 232957366221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 63 ways as a sum of consecutive naturals, for example, 262663063 + ... + 262663529.

It is an arithmetic number, because the mean of its divisors is an integer number (793611000).

Almost surely, 2^122663759232 is an apocalyptic number.

122663759232 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 122663759232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203164416000).

122663759232 is an abundant number, since it is smaller than the sum of its proper divisors (283665072768).

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

122663759232 is a wasteful number, since it uses less digits than its factorization.

122663759232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 674 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 48.

The spelling of 122663759232 in words is "one hundred twenty-two billion, six hundred sixty-three million, seven hundred fifty-nine thousand, two hundred thirty-two".