Search a number
-
+
12221140200 = 23352171198151
BaseRepresentation
bin10110110000110111…
…11100110011101000
31011112201020020200020
423120123330303220
5200012102441300
65340405240440
7611564656233
oct133033746350
934481206606
1012221140200
115201573575
122450a03120
1311c9c11209
1483d14441a
154b7da38a0
hex2d86fcce8

12221140200 has 96 divisors (see below), whose sum is σ = 40114128960. Its totient is φ = 3067264000.

The previous prime is 12221140177. The next prime is 12221140201. The reversal of 12221140200 is 204112221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12221140200.

It is not an unprimeable number, because it can be changed into a prime (12221140201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 588876 + ... + 609275.

It is an arithmetic number, because the mean of its divisors is an integer number (417855510).

Almost surely, 212221140200 is an apocalyptic number.

12221140200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12221140200 is an abundant number, since it is smaller than the sum of its proper divisors (27892988760).

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

12221140200 is a wasteful number, since it uses less digits than its factorization.

12221140200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198187 (or 1198178 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 12221140200 its reverse (204112221), we get a palindrome (12425252421).

The spelling of 12221140200 in words is "twelve billion, two hundred twenty-one million, one hundred forty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 25 30 34 40 50 51 60 68 75 85 100 102 120 136 150 170 200 204 255 300 340 408 425 510 600 680 850 1020 1275 1700 2040 2550 3400 5100 10200 1198151 2396302 3594453 4792604 5990755 7188906 9585208 11981510 14377812 17972265 20368567 23963020 28755624 29953775 35944530 40737134 47926040 59907550 61105701 71889060 81474268 89861325 101842835 119815100 122211402 143778120 162948536 179722650 203685670 239630200 244422804 305528505 359445300 407371340 488845608 509214175 611057010 718890600 814742680 1018428350 1222114020 1527642525 2036856700 2444228040 3055285050 4073713400 6110570100 12221140200