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12130212312 = 23323710145083
BaseRepresentation
bin10110100110000010…
…00101100111011000
31011022101010122001200
423103001011213120
5144320313243222
65323400314200
7606412050321
oct132301054730
934271118050
1012130212312
115165209059
122426472960
1311b4125b2a
14831035448
154aede1eac
hex2d30459d8

12130212312 has 96 divisors (see below), whose sum is σ = 34075388880. Its totient is φ = 3895084800.

The previous prime is 12130212299. The next prime is 12130212379. The reversal of 12130212312 is 21321203121.

12130212312 is a `hidden beast` number, since 12 + 130 + 212 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 246523 + ... + 291605.

Almost surely, 212130212312 is an apocalyptic number.

12130212312 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 12130212312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17037694440).

12130212312 is an abundant number, since it is smaller than the sum of its proper divisors (21945176568).

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

12130212312 is a wasteful number, since it uses less digits than its factorization.

12130212312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45233 (or 45226 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12130212312 its reverse (21321203121), we get a palindrome (33451415433).

The spelling of 12130212312 in words is "twelve billion, one hundred thirty million, two hundred twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 101 111 148 202 222 296 303 333 404 444 606 666 808 888 909 1212 1332 1818 2424 2664 3636 3737 7272 7474 11211 14948 22422 29896 33633 44844 45083 67266 89688 90166 134532 135249 180332 269064 270498 360664 405747 540996 811494 1081992 1622988 1668071 3245976 3336142 4553383 5004213 6672284 9106766 10008426 13344568 13660149 15012639 18213532 20016852 27320298 30025278 36427064 40033704 40980447 54640596 60050556 81960894 109281192 120101112 163921788 168475171 327843576 336950342 505425513 673900684 1010851026 1347801368 1516276539 2021702052 3032553078 4043404104 6065106156 12130212312