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12210200112 = 2431131373883
BaseRepresentation
bin10110101111100100…
…01101111000110000
31011111221122102200210
423113302031320300
5200001302400422
65335334544120
7611402663025
oct132762157060
934457572623
1012210200112
1151a6381080
122449208040
1311c78807a6
1483b8d754c
154b6e4210c
hex2d7c8de30

12210200112 has 80 divisors (see below), whose sum is σ = 34520969088. Its totient is φ = 3688189440.

The previous prime is 12210200111. The next prime is 12210200129. The reversal of 12210200112 is 21100201221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (12210200111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128323 + ... + 202205.

Almost surely, 212210200112 is an apocalyptic number.

12210200112 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 12210200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17260484544).

12210200112 is an abundant number, since it is smaller than the sum of its proper divisors (22310768976).

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

12210200112 is a wasteful number, since it uses less digits than its factorization.

12210200112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74218 (or 74212 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12210200112 its reverse (21100201221), we get a palindrome (33310401333).

The spelling of 12210200112 in words is "twelve billion, two hundred ten million, two hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 313 528 626 939 1252 1878 2504 3443 3756 5008 6886 7512 10329 13772 15024 20658 27544 41316 55088 73883 82632 147766 165264 221649 295532 443298 591064 812713 886596 1182128 1625426 1773192 2438139 3250852 3546384 4876278 6501704 9752556 13003408 19505112 23125379 39010224 46250758 69376137 92501516 138752274 185003032 254379169 277504548 370006064 508758338 555009096 763137507 1017516676 1110018192 1526275014 2035033352 3052550028 4070066704 6105100056 12210200112