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12085212132 = 2232747957191
BaseRepresentation
bin10110100000101010…
…11011001111100100
31011012020110101102100
423100111123033210
5144222303242012
65315112012100
7605324415420
oct132025331744
934166411370
1012085212132
115141872824
122413391030
1311a79cb3c6
1482907db80
154aaea38dc
hex2d055b3e4

12085212132 has 36 divisors (see below), whose sum is σ = 34912835776. Its totient is φ = 3452917680.

The previous prime is 12085212109. The next prime is 12085212149. The reversal of 12085212132 is 23121258021.

12085212132 is a `hidden beast` number, since 1 + 2 + 0 + 8 + 521 + 2 + 132 = 666.

12085212132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 12085212096 and 12085212105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23978344 + ... + 23978847.

Almost surely, 212085212132 is an apocalyptic number.

12085212132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12085212132 is an abundant number, since it is smaller than the sum of its proper divisors (22827623644).

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

12085212132 is a wasteful number, since it uses less digits than its factorization.

12085212132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47957208 (or 47957203 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 12085212132 in words is "twelve billion, eighty-five million, two hundred twelve thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 47957191 95914382 143871573 191828764 287743146 335700337 431614719 575486292 671400674 863229438 1007101011 1342801348 1726458876 2014202022 3021303033 4028404044 6042606066 12085212132