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12252542112 = 25364331213
BaseRepresentation
bin10110110100100111…
…01111010010100000
31011121220022122000000
423122103233102200
5200043122321422
65343450300000
7612425614056
oct133223572240
934556278000
1012252542112
115218271268
12245b427600
131203587325
1484339a1d6
154baa07cac
hex2da4ef4a0

12252542112 has 168 divisors, whose sum is σ = 36280154484. Its totient is φ = 4071389184.

The previous prime is 12252542111. The next prime is 12252542123. The reversal of 12252542112 is 21124525221.

12252542112 is a `hidden beast` number, since 1 + 2 + 2 + 5 + 2 + 542 + 112 = 666.

12252542112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 9301445136 + 2951096976 = 96444^2 + 54324^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12252542111) 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 27 ways as a sum of consecutive naturals, for example, 10100418 + ... + 10101630.

Almost surely, 212252542112 is an apocalyptic number.

12252542112 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 12252542112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18140077242).

12252542112 is an abundant number, since it is smaller than the sum of its proper divisors (24027612372).

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

12252542112 is an equidigital number, since it uses as much as digits as its factorization.

12252542112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1674 (or 1651 counting only the distinct ones).

The product of its digits is 3200, while the sum is 27.

The spelling of 12252542112 in words is "twelve billion, two hundred fifty-two million, five hundred forty-two thousand, one hundred twelve".