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12225120060 = 22354115132911
BaseRepresentation
bin10110110001010110…
…01000011100111100
31011112222201110000110
423120223020130330
5200014112320220
65341030430020
7611643543306
oct133053103474
934488643013
1012225120060
11520384170a
122452202310
1311ca9a586a
1483d89c976
154b83dcbe0
hex2d8ac873c

12225120060 has 96 divisors (see below), whose sum is σ = 35298514944. Its totient is φ = 3159360000.

The previous prime is 12225120023. The next prime is 12225120091. The reversal of 12225120060 is 6002152221.

It is a happy number.

12225120060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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, 355005 + ... + 387915.

It is an arithmetic number, because the mean of its divisors is an integer number (367692864).

Almost surely, 212225120060 is an apocalyptic number.

12225120060 is a gapful number since it is divisible by the number (10) 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 12225120060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17649257472).

12225120060 is an abundant number, since it is smaller than the sum of its proper divisors (23073394884).

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

12225120060 is a wasteful number, since it uses less digits than its factorization.

12225120060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33115 (or 33113 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 12225120060 its reverse (6002152221), we get a palindrome (18227272281).

It can be divided in two parts, 122251 and 20060, that added together give a triangular number (142311 = T533).

The spelling of 12225120060 in words is "twelve billion, two hundred twenty-five million, one hundred twenty thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 151 164 205 246 302 410 453 492 604 615 755 820 906 1230 1510 1812 2265 2460 3020 4530 6191 9060 12382 18573 24764 30955 32911 37146 61910 65822 74292 92865 98733 123820 131644 164555 185730 197466 329110 371460 394932 493665 658220 987330 1349351 1974660 2698702 4048053 4969561 5397404 6746755 8096106 9939122 13493510 14908683 16192212 19878244 20240265 24847805 26987020 29817366 40480530 49695610 59634732 74543415 80961060 99391220 149086830 203752001 298173660 407504002 611256003 815008004 1018760005 1222512006 2037520010 2445024012 3056280015 4075040020 6112560030 12225120060