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12021022200 = 233521110391753
BaseRepresentation
bin10110011001000001…
…00011110111111000
31011000202200012101110
423030200203313320
5144104340202300
65304500120320
7603615000645
oct131440436770
934022605343
1012021022200
11510960a9a0
1223b59960a0
1311976152b5
14820730dcc
154a5524550
hex2cc823df8

12021022200 has 192 divisors, whose sum is σ = 40715251200. Its totient is φ = 2909721600.

The previous prime is 12021022127. The next prime is 12021022207. The reversal of 12021022200 is 222012021.

12021022200 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 (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12021022207) by changing a digit.

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, 6856524 + ... + 6858276.

It is an arithmetic number, because the mean of its divisors is an integer number (212058600).

Almost surely, 212021022200 is an apocalyptic number.

12021022200 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 12021022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20357625600).

12021022200 is an abundant number, since it is smaller than the sum of its proper divisors (28694229000).

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

12021022200 is a wasteful number, since it uses less digits than its factorization.

12021022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2822 (or 2813 counting only the distinct ones).

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

Adding to 12021022200 its reverse (222012021), we get a palindrome (12243034221).

The spelling of 12021022200 in words is "twelve billion, twenty-one million, twenty-two thousand, two hundred".