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2012031412200 = 2332522143521603
BaseRepresentation
bin11101010001110110011…
…010101110011111101000
321010100101221001220202100
4131101312122232133220
5230431120020142300
64140151531533400
7265236004551405
oct35216632563750
97110357056670
102012031412200
11706330307957
12285b412ba260
131179700768a4
146d5507272ac
153750e3a5700
hex1d4766ae7e8

2012031412200 has 144 divisors (see below), whose sum is σ = 6760238209920. Its totient is φ = 536290312320.

The previous prime is 2012031412199. The next prime is 2012031412207. The reversal of 2012031412200 is 22141302102.

It is a happy number.

2012031412200 is a `hidden beast` number, since 2 + 0 + 1 + 20 + 31 + 412 + 200 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2012031412207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3596599 + ... + 4118201.

It is an arithmetic number, because the mean of its divisors is an integer number (46946098680).

Almost surely, 22012031412200 is an apocalyptic number.

2012031412200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2012031412200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3380119104960).

2012031412200 is an abundant number, since it is smaller than the sum of its proper divisors (4748206797720).

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

2012031412200 is a wasteful number, since it uses less digits than its factorization.

2012031412200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523768 (or 523756 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2012031412200 its reverse (22141302102), we get a palindrome (2034172714302).

The spelling of 2012031412200 in words is "two trillion, twelve billion, thirty-one million, four hundred twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 2143 4286 6429 8572 10715 12858 17144 19287 21430 25716 32145 38574 42860 51432 53575 64290 77148 85720 96435 107150 128580 154296 160725 192870 214300 257160 321450 385740 428600 482175 521603 642900 771480 964350 1043206 1285800 1564809 1928700 2086412 2608015 3129618 3857400 4172824 4694427 5216030 6259236 7824045 9388854 10432060 12518472 13040075 15648090 18777708 20864120 23472135 26080150 31296180 37555416 39120225 46944270 52160300 62592360 78240450 93888540 104320600 117360675 156480900 187777080 234721350 312961800 469442700 938885400 1117795229 2235590458 3353385687 4471180916 5588976145 6706771374 8942361832 10060157061 11177952290 13413542748 16766928435 20120314122 22355904580 26827085496 27944880725 33533856870 40240628244 44711809160 50300785305 55889761450 67067713740 80481256488 83834642175 100601570610 111779522900 134135427480 167669284350 201203141220 223559045800 251503926525 335338568700 402406282440 503007853050 670677137400 1006015706100 2012031412200