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12201432012 = 223271123211907
BaseRepresentation
bin10110101110100001…
…10001001111001100
31011111100010222010100
423113100301033030
5144442031311022
65334423011100
7611235314040
oct132720611714
934440128110
1012201432012
1151a1432510
122446299a90
1311c5b00873
1483a694020
154b62ae1ac
hex2d74313cc

12201432012 has 288 divisors, whose sum is σ = 40359481344. Its totient is φ = 3013718400.

The previous prime is 12201431999. The next prime is 12201432029. The reversal of 12201432012 is 21023410221.

It is a happy number.

12201432012 is a `hidden beast` number, since 1 + 220 + 1 + 432 + 0 + 12 = 666.

12201432012 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 (18).

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 95 ways as a sum of consecutive naturals, for example, 13452063 + ... + 13452969.

It is an arithmetic number, because the mean of its divisors is an integer number (140137088).

Almost surely, 212201432012 is an apocalyptic number.

12201432012 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 12201432012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20179740672).

12201432012 is an abundant number, since it is smaller than the sum of its proper divisors (28158049332).

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

12201432012 is a wasteful number, since it uses less digits than its factorization.

12201432012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1169 (or 1164 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12201432012 its reverse (21023410221), we get a palindrome (33224842233).

The spelling of 12201432012 in words is "twelve billion, two hundred one million, four hundred thirty-two thousand, twelve".