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12332203040 = 255411879909
BaseRepresentation
bin10110111110000111…
…00111110000100000
31011211110012211020202
423133003213300200
5200224020444130
65355413524332
7614413665503
oct133703476040
934743184222
1012332203040
115259230743
1224820436a8
131216c29281
1484dbb513a
154c29e1145
hex2df0e7c20

12332203040 has 48 divisors (see below), whose sum is σ = 29845451160. Its totient is φ = 4812564480.

The previous prime is 12332203027. The next prime is 12332203073. The reversal of 12332203040 is 4030223321.

12332203040 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 4 ways, for example, as 6211331344 + 6120871696 = 78812^2 + 78236^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 7 ways as a sum of consecutive naturals, for example, 933395 + ... + 946514.

Almost surely, 212332203040 is an apocalyptic number.

12332203040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12332203040 is an abundant number, since it is smaller than the sum of its proper divisors (17513248120).

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

12332203040 is a wasteful number, since it uses less digits than its factorization.

12332203040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1879965 (or 1879957 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 12332203040 its reverse (4030223321), we get a palindrome (16362426361).

The spelling of 12332203040 in words is "twelve billion, three hundred thirty-two million, two hundred three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 80 82 160 164 205 328 410 656 820 1312 1640 3280 6560 1879909 3759818 7519636 9399545 15039272 18799090 30078544 37598180 60157088 75196360 77076269 150392720 154152538 300785440 308305076 385381345 616610152 770762690 1233220304 1541525380 2466440608 3083050760 6166101520 12332203040