Search a number
-
+
12000102001212 = 22313200338404259
BaseRepresentation
bin1010111010011111110111…
…0100010010101000111100
31120111012100202000022011010
42232213331310102220330
53033102202103014322
641304434252155220
72345656500011103
oct256477564225074
946435322008133
1012000102001212
11390723a812926
121419849a68b10
136907b2884230
142d6b4537103a
1515c23bd6d20c
hexae9fdd12a3c

12000102001212 has 48 divisors (see below), whose sum is σ = 30169157719680. Its totient is φ = 3690495576768.

The previous prime is 12000102001211. The next prime is 12000102001231. The reversal of 12000102001212 is 21210020100021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12000102001211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18889662 + ... + 19514597.

It is an arithmetic number, because the mean of its divisors is an integer number (628524119160).

Almost surely, 212000102001212 is an apocalyptic number.

12000102001212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12000102001212 is an abundant number, since it is smaller than the sum of its proper divisors (18169055718468).

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

12000102001212 is a wasteful number, since it uses less digits than its factorization.

12000102001212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38406282 (or 38406280 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12000102001212 its reverse (21210020100021), we get a palindrome (33210122101233).

The spelling of 12000102001212 in words is "twelve trillion, one hundred two million, one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 2003 4006 6009 8012 12018 24036 26039 52078 78117 104156 156234 312468 38404259 76808518 115212777 153617036 230425554 460851108 499255367 998510734 1497766101 1997021468 2995532202 5991064404 76923730777 153847461554 230771192331 307694923108 461542384662 923084769324 1000008500101 2000017000202 3000025500303 4000034000404 6000051000606 12000102001212