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12221189334 = 2332331532113
BaseRepresentation
bin10110110000111000…
…01000110011010110
31011112201022202002000
423120130020303112
5200012111024314
65340410300130
7611565252414
oct133034106326
934481282060
1012221189334
1152015a7482
122450a27646
1311c9c2a6a3
1483d1582b4
154b7db3209
hex2d8708cd6

12221189334 has 192 divisors, whose sum is σ = 30079365120. Its totient is φ = 3667023360.

The previous prime is 12221189273. The next prime is 12221189339. The reversal of 12221189334 is 43398112221.

12221189334 is a `hidden beast` number, since 122 + 21 + 189 + 334 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12221189339) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 108152062 + ... + 108152174.

It is an arithmetic number, because the mean of its divisors is an integer number (156663360).

Almost surely, 212221189334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12221189334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15039682560).

12221189334 is an abundant number, since it is smaller than the sum of its proper divisors (17858175786).

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

12221189334 is a wasteful number, since it uses less digits than its factorization.

12221189334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 225 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The spelling of 12221189334 in words is "twelve billion, two hundred twenty-one million, one hundred eighty-nine thousand, three hundred thirty-four".