Search a number
-
+
12210101200 = 2452116774099
BaseRepresentation
bin10110101111100011…
…10101101111010000
31011111221110102000101
423113301311233100
5200001241214300
65335332502144
7611402101453
oct132761655720
934457412011
1012210101200
1151a6313830
12244917a954
1311c784776b
1483b8ad49a
154b6e22b6a
hex2d7c75bd0

12210101200 has 120 divisors (see below), whose sum is σ = 32056653600. Its totient is φ = 4432396800.

The previous prime is 12210101143. The next prime is 12210101201. The reversal of 12210101200 is 210101221.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12210101201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2976751 + ... + 2980849.

It is an arithmetic number, because the mean of its divisors is an integer number (267138780).

Almost surely, 212210101200 is an apocalyptic number.

12210101200 is a gapful number since it is divisible by the number (10) 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 12210101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16028326800).

12210101200 is an abundant number, since it is smaller than the sum of its proper divisors (19846552400).

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

12210101200 is a wasteful number, since it uses less digits than its factorization.

12210101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4805 (or 4794 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12210101200 its reverse (210101221), we get a palindrome (12420202421).

The spelling of 12210101200 in words is "twelve billion, two hundred ten million, one hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 677 880 1100 1354 2200 2708 3385 4099 4400 5416 6770 7447 8198 10832 13540 14894 16396 16925 20495 27080 29788 32792 33850 37235 40990 45089 54160 59576 65584 67700 74470 81980 90178 102475 119152 135400 148940 163960 180356 186175 204950 225445 270800 297880 327920 360712 372350 409900 450890 595760 721424 744700 819800 901780 1127225 1489400 1639600 1803560 2254450 2775023 2978800 3607120 4508900 5550046 9017800 11100092 13875115 18035600 22200184 27750230 30525253 44400368 55500460 61050506 69375575 111000920 122101012 138751150 152626265 222001840 244202024 277502300 305252530 488404048 555004600 610505060 763131325 1110009200 1221010120 1526262650 2442020240 3052525300 6105050600 12210101200