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12221020200 = 23352101201667
BaseRepresentation
bin10110110000110110…
…11111100000101000
31011112201000011001210
423120123133200220
5200012040121300
65340402513120
7611563646334
oct133033374050
934481004053
1012221020200
1152014a13a4
1224509657a0
1311c9b9b6cc
1483d1127c4
154b7d7d050
hex2d86df828

12221020200 has 96 divisors (see below), whose sum is σ = 38260452960. Its totient is φ = 3226656000.

The previous prime is 12221020187. The next prime is 12221020213. The reversal of 12221020200 is 202012221.

12221020200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12221020187) and next prime (12221020213).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40234 + ... + 161433.

It is an arithmetic number, because the mean of its divisors is an integer number (398546385).

Almost surely, 212221020200 is an apocalyptic number.

12221020200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12221020200 is an abundant number, since it is smaller than the sum of its proper divisors (26039432760).

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

12221020200 is a wasteful number, since it uses less digits than its factorization.

12221020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201787 (or 201778 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 12221020200 its reverse (202012221), we get a palindrome (12423032421).

The spelling of 12221020200 in words is "twelve billion, two hundred twenty-one million, twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 101 120 150 200 202 300 303 404 505 600 606 808 1010 1212 1515 2020 2424 2525 3030 4040 5050 6060 7575 10100 12120 15150 20200 30300 60600 201667 403334 605001 806668 1008335 1210002 1613336 2016670 2420004 3025005 4033340 4840008 5041675 6050010 8066680 10083350 12100020 15125025 20166700 20368367 24200040 30250050 40333400 40736734 60500100 61105101 81473468 101841835 121000200 122210202 162946936 203683670 244420404 305525505 407367340 488840808 509209175 611051010 814734680 1018418350 1222102020 1527627525 2036836700 2444204040 3055255050 4073673400 6110510100 12221020200