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12221000010 = 233545262963
BaseRepresentation
bin10110110000110110…
…11010100101001010
31011112200222010101000
423120123122211022
5200012034000020
65340402235430
7611563533432
oct133033324512
934480863330
1012221000010
11520148820a
122450955b76
1311c9b9246b
1483d1092c2
154b7d77090
hex2d86da94a

12221000010 has 32 divisors (see below), whose sum is σ = 32589334080. Its totient is φ = 3258933264.

The previous prime is 12221000003. The next prime is 12221000039. The reversal of 12221000010 is 1000012221.

12221000010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 12220999956 and 12221000001.

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 15 ways as a sum of consecutive naturals, for example, 22631212 + ... + 22631751.

It is an arithmetic number, because the mean of its divisors is an integer number (1018416690).

Almost surely, 212221000010 is an apocalyptic number.

12221000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12221000010 is an abundant number, since it is smaller than the sum of its proper divisors (20368334070).

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

12221000010 is a wasteful number, since it uses less digits than its factorization.

12221000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45262979 (or 45262973 counting only the distinct ones).

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

Adding to 12221000010 its reverse (1000012221), we get a palindrome (13221012231).

The spelling of 12221000010 in words is "twelve billion, two hundred twenty-one million, ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 45262963 90525926 135788889 226314815 271577778 407366667 452629630 678944445 814733334 1222100001 1357888890 2036833335 2444200002 4073666670 6110500005 12221000010