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12000210012 = 2232747619881
BaseRepresentation
bin10110010110100010…
…01010110001011100
31010222022111211102200
423023101022301130
5144034023210022
65302434051500
7603243050010
oct131321126134
933868454380
1012000210012
1150a889543a
1223aaa19b90
1311932092ab
1481ba74540
154a37b2bac
hex2cb44ac5c

12000210012 has 36 divisors (see below), whose sum is σ = 34667274096. Its totient is φ = 3428631360.

The previous prime is 12000209989. The next prime is 12000210031. The reversal of 12000210012 is 21001200021.

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

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 12000209976 and 12000210003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23809689 + ... + 23810192.

It is an arithmetic number, because the mean of its divisors is an integer number (962979836).

Almost surely, 212000210012 is an apocalyptic number.

12000210012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12000210012 is an abundant number, since it is smaller than the sum of its proper divisors (22667064084).

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

12000210012 is a wasteful number, since it uses less digits than its factorization.

12000210012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47619898 (or 47619893 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12000210012 its reverse (21001200021), we get a palindrome (33001410033).

Subtracting 12000210012 from its reverse (21001200021), we obtain a palindrome (9000990009).

The spelling of 12000210012 in words is "twelve billion, two hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 47619881 95239762 142859643 190479524 285719286 333339167 428578929 571438572 666678334 857157858 1000017501 1333356668 1714315716 2000035002 3000052503 4000070004 6000105006 12000210012