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12188243340 = 22355721331127
BaseRepresentation
bin10110101100111100…
…11101010110001100
31011110102022220200000
423112132131112030
5144430142241330
65333232204300
7611015234100
oct132636352614
934412286600
1012188243340
115194a44689
122441999690
1311c3163810
14838a1d900
154b5056560
hex2d679d58c

12188243340 has 864 divisors, whose sum is σ = 49970479104. Its totient is φ = 2469035520.

The previous prime is 12188243303. The next prime is 12188243351. The reversal of 12188243340 is 4334288121.

It is a happy number.

12188243340 is a `hidden beast` number, since 1 + 2 + 188 + 2 + 433 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12188243295 and 12188243304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 95970357 + ... + 95970483.

Almost surely, 212188243340 is an apocalyptic number.

12188243340 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 12188243340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24985239552).

12188243340 is an abundant number, since it is smaller than the sum of its proper divisors (37782235764).

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

12188243340 is a wasteful number, since it uses less digits than its factorization.

12188243340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 12188243340 in words is "twelve billion, one hundred eighty-eight million, two hundred forty-three thousand, three hundred forty".