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12220404200 = 23524710911927
BaseRepresentation
bin10110110000110010…
…01001000111101000
31011112122211212001222
423120121021013220
5200011410413300
65340341401212
7611555502404
oct133031110750
934478755058
1012220404200
115201110604
122450709208
1311c9a14204
1483cdd2104
154b7caa785
hex2d86491e8

12220404200 has 96 divisors (see below), whose sum is σ = 29285625600. Its totient is φ = 4739869440.

The previous prime is 12220404187. The next prime is 12220404233. The reversal of 12220404200 is 240402221.

It is a happy number.

It is a super-2 number, since 2×122204042002 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1018637 + ... + 1030563.

It is an arithmetic number, because the mean of its divisors is an integer number (305058600).

Almost surely, 212220404200 is an apocalyptic number.

12220404200 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 12220404200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14642812800).

12220404200 is an abundant number, since it is smaller than the sum of its proper divisors (17065221400).

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

12220404200 is a wasteful number, since it uses less digits than its factorization.

12220404200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12099 (or 12090 counting only the distinct ones).

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

Adding to 12220404200 its reverse (240402221), we get a palindrome (12460806421).

The spelling of 12220404200 in words is "twelve billion, two hundred twenty million, four hundred four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 109 188 200 218 235 376 436 470 545 872 940 1090 1175 1880 2180 2350 2725 4360 4700 5123 5450 9400 10246 10900 11927 20492 21800 23854 25615 40984 47708 51230 59635 95416 102460 119270 128075 204920 238540 256150 298175 477080 512300 560569 596350 1024600 1121138 1192700 1300043 2242276 2385400 2600086 2802845 4484552 5200172 5605690 6500215 10400344 11211380 13000430 14014225 22422760 26000860 28028450 32501075 52001720 56056900 61102021 65002150 112113800 122204042 130004300 244408084 260008600 305510105 488816168 611020210 1222040420 1527550525 2444080840 3055101050 6110202100 12220404200