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12222768000 = 273531491709
BaseRepresentation
bin10110110001000100…
…01010001110000000
31011112211021221121010
423120202022032000
5200013012034000
65340504200520
7611614546062
oct133042121600
934484257533
1012222768000
115202485563
122451469140
1311ca361101
1483d449732
154b80c5d50
hex2d888a380

12222768000 has 256 divisors, whose sum is σ = 40814280000. Its totient is φ = 3235635200.

The previous prime is 12222767951. The next prime is 12222768007. The reversal of 12222768000 is 86722221.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12222768007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7151146 + ... + 7152854.

Almost surely, 212222768000 is an apocalyptic number.

12222768000 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 12222768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20407140000).

12222768000 is an abundant number, since it is smaller than the sum of its proper divisors (28591512000).

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

12222768000 is a wasteful number, since it uses less digits than its factorization.

12222768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1890 (or 1868 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The spelling of 12222768000 in words is "twelve billion, two hundred twenty-two million, seven hundred sixty-eight thousand".