Search a number
-
+
12561912 = 23331117311
BaseRepresentation
bin101111111010…
…110111111000
3212122012201000
4233322313320
511203440122
61125125000
7211526436
oct57726770
925565630
1012561912
1170aaa50
124259760
1327aa9ac
14194dd56
1511820ac
hexbfadf8

12561912 has 128 divisors (see below), whose sum is σ = 40435200. Its totient is φ = 3571200.

The previous prime is 12561911. The next prime is 12561917. The reversal of 12561912 is 21916521.

12561912 is a `hidden beast` number, since 12 + 561 + 91 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12561911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40237 + ... + 40547.

It is an arithmetic number, because the mean of its divisors is an integer number (315900).

Almost surely, 212561912 is an apocalyptic number.

12561912 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 12561912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20217600).

12561912 is an abundant number, since it is smaller than the sum of its proper divisors (27873288).

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

12561912 is a wasteful number, since it uses less digits than its factorization.

12561912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 344 counting only the distinct ones).

The product of its digits is 1080, while the sum is 27.

The square root of 12561912 is about 3544.2787700744. The cubic root of 12561912 is about 232.4619708872.

The spelling of 12561912 in words is "twelve million, five hundred sixty-one thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 17 18 22 24 27 33 34 36 44 51 54 66 68 72 88 99 102 108 132 136 153 187 198 204 216 264 297 306 311 374 396 408 459 561 594 612 622 748 792 918 933 1122 1188 1224 1244 1496 1683 1836 1866 2244 2376 2488 2799 3366 3421 3672 3732 4488 5049 5287 5598 6732 6842 7464 8397 10098 10263 10574 11196 13464 13684 15861 16794 20196 20526 21148 22392 27368 30789 31722 33588 40392 41052 42296 47583 58157 61578 63444 67176 82104 92367 95166 116314 123156 126888 142749 174471 184734 190332 232628 246312 285498 348942 369468 380664 465256 523413 570996 697884 738936 1046826 1141992 1395768 1570239 2093652 3140478 4187304 6280956 12561912