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12135852 = 2233373037
BaseRepresentation
bin101110010010…
…110110101100
3211211120021000
4232102312230
511101321402
61112040300
7205103331
oct56226654
924746230
1012135852
116939933
124093090
13268baa1
14187c988
1510eac1c
hexb92dac

12135852 has 48 divisors (see below), whose sum is σ = 32324320. Its totient is φ = 3934656.

The previous prime is 12135821. The next prime is 12135853. The reversal of 12135852 is 25853121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12135853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2478 + ... + 5514.

Almost surely, 212135852 is an apocalyptic number.

12135852 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12135852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16162160).

12135852 is an abundant number, since it is smaller than the sum of its proper divisors (20188468).

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

12135852 is a wasteful number, since it uses less digits than its factorization.

12135852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3087 (or 3079 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 12135852 is about 3483.6549771756. The cubic root of 12135852 is about 229.8035625841.

Adding to 12135852 its reverse (25853121), we get a palindrome (37988973).

The spelling of 12135852 in words is "twelve million, one hundred thirty-five thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 108 111 148 222 333 444 666 999 1332 1998 3037 3996 6074 9111 12148 18222 27333 36444 54666 81999 109332 112369 163998 224738 327996 337107 449476 674214 1011321 1348428 2022642 3033963 4045284 6067926 12135852