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12063223728 = 243619291877
BaseRepresentation
bin10110011110000011…
…00010111110110000
31011010201002021000000
423033001202332300
5144201141124403
65313004430000
7604636465323
oct131701427660
934121067000
1012063223728
115130414596
122407b48300
1311a329cc0a
148261987ba
154a90ad7a3
hex2cf062fb0

12063223728 has 280 divisors, whose sum is σ = 38179364400. Its totient is φ = 3676119552.

The previous prime is 12063223723. The next prime is 12063223751. The reversal of 12063223728 is 82732236021.

12063223728 is a `hidden beast` number, since 12 + 0 + 632 + 2 + 3 + 7 + 2 + 8 = 666.

12063223728 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 12063223692 and 12063223701.

It is not an unprimeable number, because it can be changed into a prime (12063223723) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 6425926 + ... + 6427802.

Almost surely, 212063223728 is an apocalyptic number.

12063223728 is a gapful number since it is divisible by the number (18) 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 12063223728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19089682200).

12063223728 is an abundant number, since it is smaller than the sum of its proper divisors (26116140672).

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

12063223728 is a wasteful number, since it uses less digits than its factorization.

12063223728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1951 (or 1930 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

Adding to 12063223728 its reverse (82732236021), we get a palindrome (94795459749).

The spelling of 12063223728 in words is "twelve billion, sixty-three million, two hundred twenty-three thousand, seven hundred twenty-eight".