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12220220220200 = 2352317671928687
BaseRepresentation
bin1011000111010011110111…
…1000101010001100101000
31121021020112011021101212022
42301310331320222030220
53100204002334021300
641553520333404012
72400611310004556
oct261647570521450
947236464241768
1012220220220200
113991625808793
12145443b039608
136a8491c003a5
1430366730cbd6
15162d21611285
hexb1d3de2a328

12220220220200 has 96 divisors (see below), whose sum is σ = 28506875443200. Its totient is φ = 4871773213440.

The previous prime is 12220220220181. The next prime is 12220220220203. The reversal of 12220220220200 is 202202202221.

12220220220200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12220220220203) 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, 425970257 + ... + 425998943.

It is an arithmetic number, because the mean of its divisors is an integer number (296946619200).

Almost surely, 212220220220200 is an apocalyptic number.

12220220220200 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 12220220220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14253437721600).

12220220220200 is an abundant number, since it is smaller than the sum of its proper divisors (16286655223000).

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

12220220220200 is a wasteful number, since it uses less digits than its factorization.

12220220220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35739 (or 35730 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

Adding to 12220220220200 its reverse (202202202221), we get a palindrome (12422422422421).

The spelling of 12220220220200 in words is "twelve trillion, two hundred twenty billion, two hundred twenty million, two hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 317 634 1268 1585 2536 3170 6340 6719 7925 12680 13438 15850 26876 28687 31700 33595 53752 57374 63400 67190 114748 134380 143435 167975 229496 268760 286870 335950 573740 671900 717175 1147480 1343800 1434350 2129923 2868700 4259846 5737400 8519692 9093779 10649615 17039384 18187558 21299230 36375116 42598460 45468895 53248075 72750232 85196920 90937790 106496150 181875580 192747953 212992300 227344475 363751160 385495906 425984600 454688950 770991812 909377900 963739765 1541983624 1818755800 1927479530 3854959060 4818698825 7709918120 9637397650 19274795300 38549590600 61101101101 122202202202 244404404404 305505505505 488808808808 611011011010 1222022022020 1527527527525 2444044044040 3055055055050 6110110110100 12220220220200