142212 has 24 divisors (see below), whose sum is σ = 379456. Its totient is φ = 40608.

The previous prime is 142211. The next prime is 142217. The reversal of 142212 is 212241.

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 inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 142212.

It is not an unprimeable number, because it can be changed into a prime (142211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 763 + ... + 930.

2^{142212} is an apocalyptic number.

142212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

142212 is an abundant number, since it is smaller than the sum of its proper divisors (237244).

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

142212 is a wasteful number, since it uses less digits than its factorization.

142212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1707 (or 1705 counting only the distinct ones).

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

The square root of 142212 is about 377.1100635093. The cubic root of 142212 is about 52.1969846029.

Adding to 142212 its reverse (212241), we get a palindrome (354453).

The spelling of 142212 in words is "one hundred forty-two thousand, two hundred twelve", and thus it is an iban number.

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 1693 3386 5079 6772 10158 11851 20316 23702 35553 47404 71106 142212

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