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12241344312 = 2332420140471
BaseRepresentation
bin10110110011010010…
…00001011100111000
31011121010020201111200
423121221001130320
5200032241004222
65342410254200
7612231465321
oct133151013470
934533221450
1012241344312
115211a1318a
122457727360
131201166502
14841ac3448
154b9a44eac
hex2d9a41738

12241344312 has 48 divisors (see below), whose sum is σ = 33162352080. Its totient is φ = 4079376000.

The previous prime is 12241344289. The next prime is 12241344319. The reversal of 12241344312 is 21344314221.

12241344312 is a `hidden beast` number, since 1 + 2 + 2 + 4 + 1 + 344 + 312 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12241344319) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 282237 + ... + 322707.

It is an arithmetic number, because the mean of its divisors is an integer number (690882335).

Almost surely, 212241344312 is an apocalyptic number.

12241344312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12241344312 is an abundant number, since it is smaller than the sum of its proper divisors (20921007768).

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

12241344312 is a wasteful number, since it uses less digits than its factorization.

12241344312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44684 (or 44677 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 12241344312 its reverse (21344314221), we get a palindrome (33585658533).

The spelling of 12241344312 in words is "twelve billion, two hundred forty-one million, three hundred forty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 4201 8402 12603 16804 25206 33608 37809 40471 50412 75618 80942 100824 121413 151236 161884 242826 302472 323768 364239 485652 728478 971304 1456956 2913912 170018671 340037342 510056013 680074684 1020112026 1360149368 1530168039 2040224052 3060336078 4080448104 6120672156 12241344312