122549589622656 has 1280 divisors, whose sum is σ = 463840401024000. Its totient is φ = 31293924507648.

The previous prime is 122549589622637. The next prime is 122549589622687. The reversal of 122549589622656 is 656226985945221.

122549589622656 is a `hidden beast` number, since 1 + 2 + 2 + 5 + 495 + 8 + 9 + 62 + 26 + 56 = 666.

122549589622656 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3944417490 + ... + 3944448558.

It is an arithmetic number, because the mean of its divisors is an integer number (362375313300).

Almost surely, 2^{122549589622656} is an apocalyptic number.

122549589622656 is a gapful number since it is divisible by the number (16) 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 122549589622656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231920200512000).

122549589622656 is an abundant number, since it is smaller than the sum of its proper divisors (341290811401344).

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

122549589622656 is a wasteful number, since it uses less digits than its factorization.

122549589622656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31281 (or 31260 counting only the distinct ones).

The product of its digits is 1119744000, while the sum is 72.

The spelling of 122549589622656 in words is "one hundred twenty-two trillion, five hundred forty-nine billion, five hundred eighty-nine million, six hundred twenty-two thousand, six hundred fifty-six".