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12411132144 = 243258565253
BaseRepresentation
bin10111000111100001…
…01101100011110000
31012000221201211121220
423203300231203300
5200404222212034
65411313345040
7616362611505
oct134360554360
935027654556
1012411132144
115299840304
1224a4568180
13122a3a3098
1485a47d4ac
154c98d2749
hex2e3c2d8f0

12411132144 has 20 divisors (see below), whose sum is σ = 32062091496. Its totient is φ = 4137044032.

The previous prime is 12411132133. The next prime is 12411132169. The reversal of 12411132144 is 44123111421.

It is a happy number.

12411132144 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 (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 129282579 + ... + 129282674.

Almost surely, 212411132144 is an apocalyptic number.

It is an amenable number.

12411132144 is an abundant number, since it is smaller than the sum of its proper divisors (19650959352).

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

12411132144 is a wasteful number, since it uses less digits than its factorization.

12411132144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258565264 (or 258565258 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

Adding to 12411132144 its reverse (44123111421), we get a palindrome (56534243565).

The spelling of 12411132144 in words is "twelve billion, four hundred eleven million, one hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 258565253 517130506 775695759 1034261012 1551391518 2068522024 3102783036 4137044048 6205566072 12411132144