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12252 = 2231021
BaseRepresentation
bin10111111011100
3121210210
42333130
5343002
6132420
750502
oct27734
917723
1012252
119229
127110
135766
144672
15396c
hex2fdc

12252 has 12 divisors (see below), whose sum is σ = 28616. Its totient is φ = 4080.

The previous prime is 12251. The next prime is 12253. The reversal of 12252 is 25221.

12252 is nontrivially palindromic in base 11.

It is an interprime number because it is at equal distance from previous prime (12251) and next prime (12253).

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×122522 = 300223008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12), and also a Moran number because the ratio is a prime number: 1021 = 12252 / (1 + 2 + 2 + 5 + 2).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12251) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 499 + ... + 522.

212252 is an apocalyptic number.

12252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12252 is an abundant number, since it is smaller than the sum of its proper divisors (16364).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14308).

12252 is a wasteful number, since it uses less digits than its factorization.

12252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028 (or 1026 counting only the distinct ones).

The product of its digits is 40, while the sum is 12.

The square root of 12252 is about 110.6887528162. The cubic root of 12252 is about 23.0534359325.

Adding to 12252 its reverse (25221), we get a palindrome (37473).

The spelling of 12252 in words is "twelve thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 1021 2042 3063 4084 6126 12252