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12230011332 = 223272112812243
BaseRepresentation
bin10110110001111011…
…10010100111000100
31011120022220221120200
423120331302213010
5200021340330312
65341323330500
7612033244500
oct133075624704
934508827520
1012230011332
115206582590
122453980a30
1311cb9c8cc6
148403b3300
154b8a570dc
hex2d8f729c4

12230011332 has 216 divisors, whose sum is σ = 39388501152. Its totient is φ = 3163910400.

The previous prime is 12230011331. The next prime is 12230011349. The reversal of 12230011332 is 23311003221.

12230011332 is a `hidden beast` number, since 1 + 22 + 300 + 11 + 332 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12230011331) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5451403 + ... + 5453645.

It is an arithmetic number, because the mean of its divisors is an integer number (182354172).

Almost surely, 212230011332 is an apocalyptic number.

12230011332 is a gapful number since it is divisible by the number (12) 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 12230011332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19694250576).

12230011332 is an abundant number, since it is smaller than the sum of its proper divisors (27158489820).

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

12230011332 is a wasteful number, since it uses less digits than its factorization.

12230011332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2559 (or 2547 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12230011332 its reverse (23311003221), we get a palindrome (35541014553).

The spelling of 12230011332 in words is "twelve billion, two hundred thirty million, eleven thousand, three hundred thirty-two".