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12231312 = 243377197
BaseRepresentation
bin101110101010…
…001010010000
3212000102012120
4232222022100
511112400222
61114054240
7205651542
oct56521220
925012176
1012231312
1169a4625
12411a380
1326c3382
1418a5692
15111915c
hexbaa290

12231312 has 80 divisors (see below), whose sum is σ = 33247872. Its totient is φ = 3870720.

The previous prime is 12231311. The next prime is 12231367. The reversal of 12231312 is 21313221.

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

It is a junction number, because it is equal to n+sod(n) for n = 12231291 and 12231300.

It is not an unprimeable number, because it can be changed into a prime (12231311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126048 + ... + 126144.

Almost surely, 212231312 is an apocalyptic number.

12231312 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 12231312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16623936).

12231312 is an abundant number, since it is smaller than the sum of its proper divisors (21016560).

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

12231312 is a wasteful number, since it uses less digits than its factorization.

12231312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 210 counting only the distinct ones).

The product of its digits is 72, while the sum is 15.

The square root of 12231312 is about 3497.3292667406. The cubic root of 12231312 is about 230.4045306787.

Adding to 12231312 its reverse (21313221), we get a palindrome (33544533).

The spelling of 12231312 in words is "twelve million, two hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 71 74 97 111 142 148 194 213 222 284 291 296 388 426 444 568 582 592 776 852 888 1136 1164 1552 1704 1776 2328 2627 3408 3589 4656 5254 6887 7178 7881 10508 10767 13774 14356 15762 20661 21016 21534 27548 28712 31524 41322 42032 43068 55096 57424 63048 82644 86136 110192 126096 165288 172272 254819 330576 509638 764457 1019276 1528914 2038552 3057828 4077104 6115656 12231312