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12210112122 = 23135313721559
BaseRepresentation
bin10110101111100011…
…11000011001111010
31011111221110221222220
423113301320121322
5200001242041442
65335333024510
7611402145345
oct132761703172
934457427886
1012210112122
1151a6320a5a
122449185136
1311c784c720
1483b8b345c
154b6e25eec
hex2d7c7867a

12210112122 has 64 divisors (see below), whose sum is σ = 26991740160. Its totient is φ = 3658996224.

The previous prime is 12210112091. The next prime is 12210112129. The reversal of 12210112122 is 22121101221.

It is a super-2 number, since 2×122101121222 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12210112129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 555579 + ... + 577137.

It is an arithmetic number, because the mean of its divisors is an integer number (421745940).

Almost surely, 212210112122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12210112122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13495870080).

12210112122 is an abundant number, since it is smaller than the sum of its proper divisors (14781628038).

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

12210112122 is a wasteful number, since it uses less digits than its factorization.

12210112122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21767.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12210112122 its reverse (22121101221), we get a palindrome (34331213343).

The spelling of 12210112122 in words is "twelve billion, two hundred ten million, one hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 13 26 39 53 78 106 137 159 274 318 411 689 822 1378 1781 2067 3562 4134 5343 7261 10686 14522 21559 21783 43118 43566 64677 94393 129354 188786 280267 283179 560534 566358 840801 1142627 1681602 2285254 2953583 3427881 5907166 6855762 8860749 14854151 17721498 29708302 38396579 44562453 76793158 89124906 115189737 156539899 230379474 313079798 469619697 939239394 2035018687 4070037374 6105056061 12210112122