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12220222200 = 23352174129221
BaseRepresentation
bin10110110000110000…
…11100101011111000
31011112122111121102020
423120120130223320
5200011334102300
65340333434440
7611554113654
oct133030345370
934478447366
1012220222200
115200aa689a
12245063ba20
1311c997c414
1483cd85a64
154b7c718a0
hex2d861caf8

12220222200 has 192 divisors, whose sum is σ = 41090807520. Its totient is φ = 2992128000.

The previous prime is 12220222187. The next prime is 12220222283. The reversal of 12220222200 is 222202221.

12220222200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 12220222200.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 403590 + ... + 432810.

Almost surely, 212220222200 is an apocalyptic number.

12220222200 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 12220222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20545403760).

12220222200 is an abundant number, since it is smaller than the sum of its proper divisors (28870585320).

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

12220222200 is a wasteful number, since it uses less digits than its factorization.

12220222200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29298 (or 29289 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 12220222200 its reverse (222202221), we get a palindrome (12442424421).

The spelling of 12220222200 in words is "twelve billion, two hundred twenty million, two hundred twenty-two thousand, two hundred".