Search a number
-
+
12210000012 = 2232748452381
BaseRepresentation
bin10110101111100010…
…11101000010001100
31011111221021021012200
423113301131002030
5200001230000022
65335330401500
7611401200450
oct132761350214
934457237180
1012210000012
1151a6254801
122449130290
1311c78106a2
1483b884660
154b6e02bac
hex2d7c5d08c

12210000012 has 36 divisors (see below), whose sum is σ = 35273334096. Its totient is φ = 3488571360.

The previous prime is 12209999999. The next prime is 12210000013. The reversal of 12210000012 is 21000001221.

12210000012 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 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 = 12209999949 and 12210000003.

It is not an unprimeable number, because it can be changed into a prime (12210000013) by changing a digit.

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, 24225939 + ... + 24226442.

It is an arithmetic number, because the mean of its divisors is an integer number (979814836).

Almost surely, 212210000012 is an apocalyptic number.

12210000012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12210000012 is an abundant number, since it is smaller than the sum of its proper divisors (23063334084).

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

12210000012 is a wasteful number, since it uses less digits than its factorization.

12210000012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48452398 (or 48452393 counting only the distinct ones).

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

Adding to 12210000012 its reverse (21000001221), we get a palindrome (33210001233).

The spelling of 12210000012 in words is "twelve billion, two hundred ten million, twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 48452381 96904762 145357143 193809524 290714286 339166667 436071429 581428572 678333334 872142858 1017500001 1356666668 1744285716 2035000002 3052500003 4070000004 6105000006 12210000012