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12222000000 = 273256797
BaseRepresentation
bin10110110000111110…
…01110101110000000
31011112202211221002200
423120133032232000
5200012313000000
65340435513200
7611605200030
oct133037165600
934482757080
1012222000000
115202000551
122451158800
1311ca152682
1483d2c98c0
154b7ec3500
hex2d87ceb80

12222000000 has 672 divisors, whose sum is σ = 50760287760. Its totient is φ = 2764800000.

The previous prime is 12221999939. The next prime is 12222000017. The reversal of 12222000000 is 22221.

12222000000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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 83 ways as a sum of consecutive naturals, for example, 125999952 + ... + 126000048.

Almost surely, 212222000000 is an apocalyptic number.

12222000000 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 12222000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25380143880).

12222000000 is an abundant number, since it is smaller than the sum of its proper divisors (38538287760).

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

12222000000 is an frugal number, since it uses more digits than its factorization.

12222000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 12222000000 its reverse (22221), we get a palindrome (12222022221).

The spelling of 12222000000 in words is "twelve billion, two hundred twenty-two million", and thus it is an aban number.