122015826306 has 192 divisors, whose sum is σ = 305690112000. Its totient is φ = 36162210240.

The previous prime is 122015826271. The next prime is 122015826313. The reversal of 122015826306 is 603628510221.

122015826306 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 15 + 8 + 2 + 630 + 6 = 666.

122015826306 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 141385231 + ... + 141386093.

It is an arithmetic number, because the mean of its divisors is an integer number (1592136000).

Almost surely, 2^122015826306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122015826306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152845056000).

122015826306 is an abundant number, since it is smaller than the sum of its proper divisors (183674285694).

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

122015826306 is a wasteful number, since it uses less digits than its factorization.

122015826306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1443 (or 1431 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 122015826306 in words is "one hundred twenty-two billion, fifteen million, eight hundred twenty-six thousand, three hundred six".