122412 has 18 divisors (see below), whose sum is σ = 288484. Its totient is φ = 40400.

The previous prime is 122401. The next prime is 122443. The reversal of 122412 is 214221.

It is a Harshad number since it is a multiple of its sum of digits (12).

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1162 + ... + 1262.

2¹²²⁴¹² is an apocalyptic number.

122412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122412 is an abundant number, since it is smaller than the sum of its proper divisors (166072).

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

122412 is a wasteful number, since it uses less digits than its factorization.

122412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 106 counting only the distinct ones).

The product of its digits is 32, while the sum is 12.

The square root of 122412 is about 349.8742631289. The cubic root of 122412 is about 49.6525241377.

Multiplying 122412 by its sum of digits (12), we get a square (1468944 = 1212²).

122412 divided by its sum of digits (12) gives a palindrome (10201).

Adding to 122412 its reverse (214221), we get a palindrome (336633).

Subtracting 122412 from its reverse (214221), we obtain a square (91809 = 303²).

The spelling of 122412 in words is "one hundred twenty-two thousand, four hundred twelve", and thus it is an iban number.