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12132013200012 = 22327313733696667
BaseRepresentation
bin1011000010001011010001…
…0101100101001010001100
31120221210211212012111122200
42300202310111211022030
53042232330334400022
641445211523041500
72361336411466446
oct260426425451214
946853755174580
1012132013200012
1139581811969a2
12143b322810290
136a00756b0a14
142dd29a5bb496
151608ac8a2bac
hexb08b456528c

12132013200012 has 72 divisors (see below), whose sum is σ = 31314043999056. Its totient is φ = 3959493041664.

The previous prime is 12132013199987. The next prime is 12132013200017. The reversal of 12132013200012 is 21000231023121.

12132013200012 is a `hidden beast` number, since 1 + 21 + 320 + 1 + 320 + 0 + 0 + 1 + 2 = 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 (12132013200017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16488298 + ... + 17208369.

Almost surely, 212132013200012 is an apocalyptic number.

12132013200012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12132013200012 is an abundant number, since it is smaller than the sum of its proper divisors (19182030799044).

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

12132013200012 is a wasteful number, since it uses less digits than its factorization.

12132013200012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33696887 (or 33696882 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12132013200012 its reverse (21000231023121), we get a palindrome (33132244223133).

The spelling of 12132013200012 in words is "twelve trillion, one hundred thirty-two billion, thirteen million, two hundred thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 73 137 146 219 274 292 411 438 548 657 822 876 1233 1314 1644 2466 2628 4932 10001 20002 30003 40004 60006 90009 120012 180018 360036 33696667 67393334 101090001 134786668 202180002 303270003 404360004 606540006 1213080012 2459856691 4616443379 4919713382 7379570073 9232886758 9839426764 13849330137 14759140146 18465773516 22138710219 27698660274 29518280292 41547990411 44277420438 55397320548 83095980822 88554840876 166191961644 337000366667 674000733334 1011001100001 1348001466668 2022002200002 3033003300003 4044004400004 6066006600006 12132013200012