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12001131312 = 243250023569
BaseRepresentation
bin10110010110101001…
…01011101100110000
31010222101020122012220
423023110223230300
5144034242200222
65302505521040
7603253635012
oct131324535460
933871218186
1012001131312
1150a9364645
1223ab1a3180
13119346c741
1481bc341b2
154a38e5b5c
hex2cb52bb30

12001131312 has 20 divisors (see below), whose sum is σ = 31002922680. Its totient is φ = 4000377088.

The previous prime is 12001131287. The next prime is 12001131347. The reversal of 12001131312 is 21313110021.

It is a happy number.

12001131312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12001131291 and 12001131300.

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, 125011737 + ... + 125011832.

It is an arithmetic number, because the mean of its divisors is an integer number (1550146134).

Almost surely, 212001131312 is an apocalyptic number.

12001131312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12001131312 is an abundant number, since it is smaller than the sum of its proper divisors (19001791368).

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

12001131312 is a wasteful number, since it uses less digits than its factorization.

12001131312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250023580 (or 250023574 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 12001131312 its reverse (21313110021), we get a palindrome (33314241333).

The spelling of 12001131312 in words is "twelve billion, one million, one hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 250023569 500047138 750070707 1000094276 1500141414 2000188552 3000282828 4000377104 6000565656 12001131312