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12131332012200 = 2335252301386587
BaseRepresentation
bin1011000010001000101110…
…1111000011100010101000
31120221202002101102120122110
42300202023233003202220
53042224431443342300
641445020150522320
72361313500466242
oct260421357034250
946852071376573
1012131332012200
113957961726465
12143b1726663a0
1369cc9752a1cb
142dd233d3d092
1516086cb99550
hexb088bbc38a8

12131332012200 has 96 divisors (see below), whose sum is σ = 37607945571360. Its totient is φ = 3234951648000.

The previous prime is 12131332012187. The next prime is 12131332012201. The reversal of 12131332012200 is 221023313121.

It is not an unprimeable number, because it can be changed into a prime (12131332012201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31187307 + ... + 31573893.

It is an arithmetic number, because the mean of its divisors is an integer number (391749433035).

Almost surely, 212131332012200 is an apocalyptic number.

12131332012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12131332012200 is an abundant number, since it is smaller than the sum of its proper divisors (25476613559160).

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

12131332012200 is a wasteful number, since it uses less digits than its factorization.

12131332012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438907 (or 438898 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 12131332012200 its reverse (221023313121), we get a palindrome (12352355325321).

The spelling of 12131332012200 in words is "twelve trillion, one hundred thirty-one billion, three hundred thirty-two million, twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 52301 104602 156903 209204 261505 313806 386587 418408 523010 627612 773174 784515 1046020 1159761 1255224 1307525 1546348 1569030 1932935 2092040 2319522 2615050 3092696 3138060 3865870 3922575 4639044 5230100 5798805 6276120 7731740 7845150 9278088 9664675 10460200 11597610 15463480 15690300 19329350 23195220 28994025 31380600 38658700 46390440 57988050 77317400 115976100 231952200 20218886687 40437773374 60656660061 80875546748 101094433435 121313320122 161751093496 202188866870 242626640244 303283300305 404377733740 485253280488 505472167175 606566600610 808755467480 1010944334350 1213133201220 1516416501525 2021888668700 2426266402440 3032833003050 4043777337400 6065666006100 12131332012200