122589396216 has 192 divisors, whose sum is σ = 395153740800. Its totient is φ = 34878066048.

The previous prime is 122589396199. The next prime is 122589396229. The reversal of 122589396216 is 612693985221.

122589396216 is a `hidden beast` number, since 1 + 2 + 2 + 5 + 8 + 9 + 3 + 9 + 621 + 6 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3233466 + ... + 3271158.

It is an arithmetic number, because the mean of its divisors is an integer number (2058092400).

Almost surely, 2^122589396216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122589396216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197576870400).

122589396216 is an abundant number, since it is smaller than the sum of its proper divisors (272564344584).

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

122589396216 is a wasteful number, since it uses less digits than its factorization.

122589396216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37960 (or 37944 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The spelling of 122589396216 in words is "one hundred twenty-two billion, five hundred eighty-nine million, three hundred ninety-six thousand, two hundred sixteen".