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12333134000 = 245311560597
BaseRepresentation
bin10110111110001110…
…01011000010110000
31011211111222010021202
423133013023002300
5200224240242000
65355445510332
7614424623615
oct133707130260
934744863252
1012333134000
115259807130
1224824123a8
131217193c35
1484dd7850c
154c2b26dd5
hex2df1cb0b0

12333134000 has 80 divisors (see below), whose sum is σ = 32532623136. Its totient is φ = 4484768000.

The previous prime is 12333133999. The next prime is 12333134119. The reversal of 12333134000 is 43133321.

12333134000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 258299 + ... + 302298.

Almost surely, 212333134000 is an apocalyptic number.

12333134000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12333134000 is an abundant number, since it is smaller than the sum of its proper divisors (20199489136).

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

12333134000 is a wasteful number, since it uses less digits than its factorization.

12333134000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560631 (or 560615 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 12333134000 its reverse (43133321), we get a palindrome (12376267321).

The spelling of 12333134000 in words is "twelve billion, three hundred thirty-three million, one hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5500 11000 22000 560597 1121194 2242388 2802985 4484776 5605970 6166567 8969552 11211940 12333134 14014925 22423880 24666268 28029850 30832835 44847760 49332536 56059700 61665670 70074625 98665072 112119400 123331340 140149250 154164175 224238800 246662680 280298500 308328350 493325360 560597000 616656700 770820875 1121194000 1233313400 1541641750 2466626800 3083283500 6166567000 12333134000