Search a number
-
+
12252112 = 241941983
BaseRepresentation
bin101110101111…
…001111010000
3212001110201221
4232233033100
511114031422
61114334424
7206066305
oct56571720
925043657
1012252112
116a09214
12412a414
1326cc992
1418ad0ac
1511203c7
hexbaf3d0

12252112 has 40 divisors (see below), whose sum is σ = 25623360. Its totient is φ = 5656320.

The previous prime is 12252103. The next prime is 12252113. The reversal of 12252112 is 21125221.

It is a happy number.

It is a super-2 number, since 2×122521122 = 300228496921088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12252113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11973 + ... + 12955.

It is an arithmetic number, because the mean of its divisors is an integer number (640584).

Almost surely, 212252112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12252112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12811680).

12252112 is an abundant number, since it is smaller than the sum of its proper divisors (13371248).

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

12252112 is a wasteful number, since it uses less digits than its factorization.

12252112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1051 (or 1045 counting only the distinct ones).

The product of its digits is 80, while the sum is 16.

The square root of 12252112 is about 3500.3017012823. The cubic root of 12252112 is about 230.5350617892.

Adding to 12252112 its reverse (21125221), we get a palindrome (33377333).

The spelling of 12252112 in words is "twelve million, two hundred fifty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 19 38 41 76 82 152 164 304 328 656 779 983 1558 1966 3116 3932 6232 7864 12464 15728 18677 37354 40303 74708 80606 149416 161212 298832 322424 644848 765757 1531514 3063028 6126056 12252112