122936346 has 96 divisors (see below), whose sum is σ = 311832000. Its totient is φ = 35785152.

The previous prime is 122936293. The next prime is 122936347. The reversal of 122936346 is 643639221.

122936346 is a `hidden beast` number, since 12 + 2 + 9 + 3 + 634 + 6 = 666.

It is a super-2 number, since 2×122936346² = 30226690335663432, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 122936346.

It is not an unprimeable number, because it can be changed into a prime (122936347) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 173040 + ... + 173748.

It is an arithmetic number, because the mean of its divisors is an integer number (3248250).

Almost surely, 2^122936346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122936346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155916000).

122936346 is an abundant number, since it is smaller than the sum of its proper divisors (188895654).

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

122936346 is a wasteful number, since it uses less digits than its factorization.

122936346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 746 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 122936346 is about 11087.6663910852. Note that the first 3 decimals coincide. The cubic root of 122936346 is about 497.2331789773.

The spelling of 122936346 in words is "one hundred twenty-two million, nine hundred thirty-six thousand, three hundred forty-six".