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12333131200 = 265213592939
BaseRepresentation
bin10110111110001110…
…01010010111000000
31011211111221222110001
423133013022113000
5200224240144300
65355445445344
7614424612505
oct133707122700
934744858401
1012333131200
115259805015
122482410854
131217192890
1484dd774ac
154c2b2616a
hex2df1ca5c0

12333131200 has 84 divisors (see below), whose sum is σ = 32681666920. Its totient is φ = 4553763840.

The previous prime is 12333131197. The next prime is 12333131203. The reversal of 12333131200 is 213133321.

12333131200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12333131197) and next prime (12333131203).

It is a super-2 number, since 2×123331312002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12333131203) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 275670 + ... + 317269.

Almost surely, 212333131200 is an apocalyptic number.

12333131200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12333131200 is an abundant number, since it is smaller than the sum of its proper divisors (20348535720).

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

12333131200 is a wasteful number, since it uses less digits than its factorization.

12333131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592974 (or 592959 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 12333131200 its reverse (213133321), we get a palindrome (12546264521).

The spelling of 12333131200 in words is "twelve billion, three hundred thirty-three million, one hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 130 160 200 208 260 320 325 400 416 520 650 800 832 1040 1300 1600 2080 2600 4160 5200 10400 20800 592939 1185878 2371756 2964695 4743512 5929390 7708207 9487024 11858780 14823475 15416414 18974048 23717560 29646950 30832828 37948096 38541035 47435120 59293900 61665656 77082070 94870240 118587800 123331312 154164140 189740480 192705175 237175600 246662624 308328280 385410350 474351200 493325248 616656560 770820700 948702400 1233313120 1541641400 2466626240 3083282800 6166565600 12333131200