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12031132200 = 2335283241589
BaseRepresentation
bin10110011010001110…
…01000001000101000
31011001110200211200220
423031013020020220
5144114432212300
65305500530040
7604066636113
oct131507101050
934043624626
1012031132200
11511429576a
1223b9250920
131199744c49
14821c0357a
154a636eda0
hex2cd1c8228

12031132200 has 96 divisors (see below), whose sum is σ = 37746021600. Its totient is φ = 3169634560.

The previous prime is 12031132187. The next prime is 12031132207. The reversal of 12031132200 is 223113021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12031132200.

It is not an unprimeable number, because it can be changed into a prime (12031132207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70995 + ... + 170594.

It is an arithmetic number, because the mean of its divisors is an integer number (393187725).

Almost surely, 212031132200 is an apocalyptic number.

12031132200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12031132200 is an abundant number, since it is smaller than the sum of its proper divisors (25714889400).

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

12031132200 is a wasteful number, since it uses less digits than its factorization.

12031132200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241691 (or 241682 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12031132200 its reverse (223113021), we get a palindrome (12254245221).

The spelling of 12031132200 in words is "twelve billion, thirty-one million, one hundred thirty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 83 100 120 150 166 200 249 300 332 415 498 600 664 830 996 1245 1660 1992 2075 2490 3320 4150 4980 6225 8300 9960 12450 16600 24900 49800 241589 483178 724767 966356 1207945 1449534 1932712 2415890 2899068 3623835 4831780 5798136 6039725 7247670 9663560 12079450 14495340 18119175 20051887 24158900 28990680 36238350 40103774 48317800 60155661 72476700 80207548 100259435 120311322 144953400 160415096 200518870 240622644 300778305 401037740 481245288 501297175 601556610 802075480 1002594350 1203113220 1503891525 2005188700 2406226440 3007783050 4010377400 6015566100 12031132200