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12012001128 = 2332257649157
BaseRepresentation
bin10110010111111100…
…01001011101101000
31011000010200212210200
423023332021131220
5144100033014003
65303534512200
7603445216311
oct131376113550
934003625720
1012012001128
115104509266
1223b2965660
1311957a719a
1481d463608
154a48416a3
hex2cbf89768

12012001128 has 48 divisors (see below), whose sum is σ = 32659138980. Its totient is φ = 3988414464.

The previous prime is 12012001103. The next prime is 12012001129. The reversal of 12012001128 is 82110021021.

It can be written as a sum of positive squares in 2 ways, for example, as 11790050724 + 221950404 = 108582^2 + 14898^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 12012001128.

It is not an unprimeable number, because it can be changed into a prime (12012001129) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 306075 + ... + 343082.

Almost surely, 212012001128 is an apocalyptic number.

12012001128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12012001128 is an abundant number, since it is smaller than the sum of its proper divisors (20647137852).

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

12012001128 is a wasteful number, since it uses less digits than its factorization.

12012001128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649426 (or 649419 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12012001128 its reverse (82110021021), we get a palindrome (94122022149).

The spelling of 12012001128 in words is "twelve billion, twelve million, one thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 257 514 771 1028 1542 2056 2313 3084 4626 6168 9252 18504 649157 1298314 1947471 2596628 3894942 5193256 5842413 7789884 11684826 15579768 23369652 46739304 166833349 333666698 500500047 667333396 1001000094 1334666792 1501500141 2002000188 3003000282 4004000376 6006000564 12012001128