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12200201202221 = 314140387237673
BaseRepresentation
bin1011000110001001010010…
…1010001010101000101101
31121012022211222221220211222
42301202110222022220231
53044342003001432341
641540410044353125
72366302234111634
oct261422452125055
947168758856758
1012200201202221
11398409257a22a
1214505928457a5
136a66215c7316
143026c86b651b
1516254dd8a44b
hexb1894a8aa2d

12200201202221 has 16 divisors (see below), whose sum is σ = 12901294576128. Its totient is φ = 11518345670400.

The previous prime is 12200201202151. The next prime is 12200201202263. The reversal of 12200201202221 is 12220210200221.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12200201202221 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12200201202221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12200201202271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51213041 + ... + 51450713.

It is an arithmetic number, because the mean of its divisors is an integer number (806330911008).

Almost surely, 212200201202221 is an apocalyptic number.

It is an amenable number.

12200201202221 is a deficient number, since it is larger than the sum of its proper divisors (701093373907).

12200201202221 is a wasteful number, since it uses less digits than its factorization.

12200201202221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278132.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 12200201202221 its reverse (12220210200221), we get a palindrome (24420411402442).

The spelling of 12200201202221 in words is "twelve trillion, two hundred billion, two hundred one million, two hundred two thousand, two hundred twenty-one".

Divisors: 1 31 41 1271 40387 237673 1251997 1655867 7367863 9744593 51331877 302082383 9598899451 297565882981 393554877491 12200201202221