122620429584 has 225 divisors, whose sum is σ = 362614762741. Its totient is φ = 40003649280.

The previous prime is 122620429577. The next prime is 122620429609. The reversal of 122620429584 is 485924026221.

The square root of 122620429584 is 350172.

It is a perfect power (a square), and thus also a powerful number.

122620429584 is a `hidden beast` number, since 1 + 2 + 2 + 6 + 20 + 42 + 9 + 584 = 666.

It can be written as a sum of positive squares in only one way, i.e., 72027824400 + 50592605184 = 268380^2 + 224928^2 .

It is a Duffinian 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 44 ways as a sum of consecutive naturals, for example, 895039564 + ... + 895039700.

Almost surely, 2^122620429584 is an apocalyptic number.

122620429584 is the 350172-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122620429584

122620429584 is an abundant number, since it is smaller than the sum of its proper divisors (239994333157).

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

122620429584 is an frugal number, since it uses more digits than its factorization.

122620429584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 122620429584 in words is "one hundred twenty-two billion, six hundred twenty million, four hundred twenty-nine thousand, five hundred eighty-four".