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12985212 = 22317531201
BaseRepresentation
bin110001100010…
…001101111100
3220102201100210
4301202031330
511311011322
61142152420
7215241522
oct61421574
926381323
1012985212
117369a89
124422710
1328c8576
141a20312
15121770c
hexc6237c

12985212 has 48 divisors (see below), whose sum is σ = 32713632. Its totient is φ = 3993600.

The previous prime is 12985177. The next prime is 12985213. The reversal of 12985212 is 21258921.

12985212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 12985212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12985213) 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, 10212 + ... + 11412.

It is an arithmetic number, because the mean of its divisors is an integer number (681534).

Almost surely, 212985212 is an apocalyptic number.

12985212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is a pronic number, being equal to 3603×3604.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12985212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16356816).

12985212 is an abundant number, since it is smaller than the sum of its proper divisors (19728420).

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

12985212 is a wasteful number, since it uses less digits than its factorization.

12985212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1278 (or 1276 counting only the distinct ones).

The product of its digits is 2880, while the sum is 30.

The square root of 12985212 is about 3603.4999653115. The cubic root of 12985212 is about 235.0442771558.

The spelling of 12985212 in words is "twelve million, nine hundred eighty-five thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 17 34 51 53 68 102 106 159 204 212 318 636 901 1201 1802 2402 2703 3603 3604 4804 5406 7206 10812 14412 20417 40834 61251 63653 81668 122502 127306 190959 245004 254612 381918 763836 1082101 2164202 3246303 4328404 6492606 12985212