Search a number
-
+
12397212 = 223483461
BaseRepresentation
bin101111010010…
…101010011100
3212022211210000
4233102222130
511133202322
61121414300
7210242322
oct57225234
925284700
1012397212
116aa8233
12419a390
132750a39
141909d12
15114d3ac
hexbd2a9c

12397212 has 60 divisors (see below), whose sum is σ = 32870376. Its totient is φ = 4073760.

The previous prime is 12397171. The next prime is 12397243. The reversal of 12397212 is 21279321.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 26662 + ... + 27122.

Almost surely, 212397212 is an apocalyptic number.

12397212 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 12397212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16435188).

12397212 is an abundant number, since it is smaller than the sum of its proper divisors (20473164).

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

12397212 is a wasteful number, since it uses less digits than its factorization.

12397212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 549 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 12397212 is about 3520.9674806791. The cubic root of 12397212 is about 231.4415571785.

The spelling of 12397212 in words is "twelve million, three hundred ninety-seven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 83 108 162 166 249 324 332 461 498 747 922 996 1383 1494 1844 2241 2766 2988 4149 4482 5532 6723 8298 8964 12447 13446 16596 24894 26892 37341 38263 49788 74682 76526 114789 149364 153052 229578 344367 459156 688734 1033101 1377468 2066202 3099303 4132404 6198606 12397212