122405346 has 96 divisors (see below), whose sum is σ = 317116800. Its totient is φ = 33384960.

The previous prime is 122405341. The next prime is 122405351. The reversal of 122405346 is 643504221.

122405346 is a `hidden beast` number, since 122 + 4 + 0 + 534 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (122405341) and next prime (122405351).

It is not an unprimeable number, because it can be changed into a prime (122405341) 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, 507786 + ... + 508026.

It is an arithmetic number, because the mean of its divisors is an integer number (3303300).

Almost surely, 2^122405346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122405346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158558400).

122405346 is an abundant number, since it is smaller than the sum of its proper divisors (194711454).

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

122405346 is a wasteful number, since it uses less digits than its factorization.

122405346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 122405346 is about 11063.6949524108. The cubic root of 122405346 is about 496.5162446044.

Adding to 122405346 its reverse (643504221), we get a palindrome (765909567).

The spelling of 122405346 in words is "one hundred twenty-two million, four hundred five thousand, three hundred forty-six".