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12200022222012 = 2232338889506167
BaseRepresentation
bin1011000110001000100111…
…1111011010010010111100
31121012022101112011210011100
42301202021333122102330
53044341121142101022
641540340212253100
72366264631601512
oct261421177322274
947168345153140
1012200022222012
1139840005437a9
121450542911190
136a65c34bc681
143026aca064b2
1516253d2d41ac
hexb1889fda4bc

12200022222012 has 18 divisors (see below), whose sum is σ = 30838945061288. Its totient is φ = 4066674073992.

The previous prime is 12200022222001. The next prime is 12200022222013. The reversal of 12200022222012 is 21022222000221.

12200022222012 is a `hidden beast` number, since 1 + 220 + 0 + 0 + 222 + 220 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12200022222013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 169444753048 + ... + 169444753119.

Almost surely, 212200022222012 is an apocalyptic number.

12200022222012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12200022222012 is an abundant number, since it is smaller than the sum of its proper divisors (18638922839276).

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

12200022222012 is a wasteful number, since it uses less digits than its factorization.

12200022222012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338889506177 (or 338889506172 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 12200022222012 its reverse (21022222000221), we get a palindrome (33222244222233).

The spelling of 12200022222012 in words is "twelve trillion, two hundred billion, twenty-two million, two hundred twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 338889506167 677779012334 1016668518501 1355558024668 2033337037002 3050005555503 4066674074004 6100011111006 12200022222012