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12696912 = 243497101
BaseRepresentation
bin110000011011…
…110101010000
3212220001220000
4300123311100
511222300122
61132050000
7212631144
oct60336520
925801800
1012696912
117192418
124303900
132827287
141987224
1511ac0ac
hexc1bd50

12696912 has 100 divisors (see below), whose sum is σ = 37494996. Its totient is φ = 4147200.

The previous prime is 12696899. The next prime is 12696917. The reversal of 12696912 is 21969621.

It can be written as a sum of positive squares in 2 ways, for example, as 9585216 + 3111696 = 3096^2 + 1764^2 .

It is a super-2 number, since 2×126969122 = 322423148671488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12696917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 125662 + ... + 125762.

Almost surely, 212696912 is an apocalyptic number.

12696912 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 12696912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18747498).

12696912 is an abundant number, since it is smaller than the sum of its proper divisors (24798084).

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

12696912 is a wasteful number, since it uses less digits than its factorization.

12696912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 203 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 12696912 is about 3563.2726530537. The cubic root of 12696912 is about 233.2917440615.

The spelling of 12696912 in words is "twelve million, six hundred ninety-six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 97 101 108 144 162 194 202 216 291 303 324 388 404 432 582 606 648 776 808 873 909 1164 1212 1296 1552 1616 1746 1818 2328 2424 2619 2727 3492 3636 4656 4848 5238 5454 6984 7272 7857 8181 9797 10476 10908 13968 14544 15714 16362 19594 20952 21816 29391 31428 32724 39188 41904 43632 58782 62856 65448 78376 88173 117564 125712 130896 156752 176346 235128 264519 352692 470256 529038 705384 793557 1058076 1410768 1587114 2116152 3174228 4232304 6348456 12696912