122414412 has 48 divisors (see below), whose sum is σ = 297651200. Its totient is φ = 39113280.

The previous prime is 122414407. The next prime is 122414417. The reversal of 122414412 is 214414221.

It is an interprime number because it is at equal distance from previous prime (122414407) and next prime (122414417).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (122414417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39039 + ... + 42057.

Almost surely, 2^122414412 is an apocalyptic number.

122414412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122414412 is an abundant number, since it is smaller than the sum of its proper divisors (175236788).

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

122414412 is a wasteful number, since it uses less digits than its factorization.

122414412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3166 (or 3164 counting only the distinct ones).

The product of its digits is 512, while the sum is 21.

The square root of 122414412 is about 11064.1046632794. The cubic root of 122414412 is about 496.5285025253.

Adding to 122414412 its reverse (214414221), we get a palindrome (336828633).

It can be divided in two parts, 12241 and 4412, that added together give a triangular number (16653 = T₁₈₂).

The spelling of 122414412 in words is "one hundred twenty-two million, four hundred fourteen thousand, four hundred twelve".