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12131220222 = 23211971913307
BaseRepresentation
bin10110100110001001…
…11011101011111110
31011022110000211122200
423103010323223332
5144321043021342
65323434052330
7606423445662
oct132304735376
934273024580
1012131220222
115165837340
12242687a0a6
1311b43b9824
148312188a2
154b004094c
hex2d313bafe

12131220222 has 96 divisors (see below), whose sum is σ = 29129877504. Its totient is φ = 3618086400.

The previous prime is 12131220221. The next prime is 12131220251. The reversal of 12131220222 is 22202213121.

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

It is a junction number, because it is equal to n+sod(n) for n = 12131220195 and 12131220204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12131220221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3666693 + ... + 3669999.

It is an arithmetic number, because the mean of its divisors is an integer number (303436224).

Almost surely, 212131220222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12131220222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14564938752).

12131220222 is an abundant number, since it is smaller than the sum of its proper divisors (16998657282).

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

12131220222 is a wasteful number, since it uses less digits than its factorization.

12131220222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3614 (or 3611 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12131220222 its reverse (22202213121), we get a palindrome (34333433343).

The spelling of 12131220222 in words is "twelve billion, one hundred thirty-one million, two hundred twenty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 97 99 191 194 198 291 382 573 582 873 1067 1146 1719 1746 2101 2134 3201 3307 3438 4202 6303 6402 6614 9603 9921 12606 18527 18909 19206 19842 29763 36377 37054 37818 55581 59526 72754 109131 111162 166743 203797 218262 320779 327393 333486 407594 611391 631637 641558 654786 962337 1222782 1263274 1834173 1894911 1924674 2887011 3528569 3668346 3789822 5684733 5774022 6948007 7057138 10585707 11369466 13896014 20844021 21171414 31757121 41688042 61268789 62532063 63514242 122537578 125064126 183806367 367612734 551419101 673956679 1102838202 1347913358 2021870037 4043740074 6065610111 12131220222