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12201102221 = 7111033715329
BaseRepresentation
bin10110101110011111…
…00000101110001101
31011111022112012201212
423113033200232031
5144441440232341
65334411544205
7611232441410
oct132717405615
934438465655
1012201102221
1151a1227760
12244615b065
1311c5a16719
1483a609b77
154b62465eb
hex2d73e0b8d

12201102221 has 16 divisors (see below), whose sum is σ = 15214227840. Its totient is φ = 9505812480.

The previous prime is 12201102167. The next prime is 12201102229. The reversal of 12201102221 is 12220110221.

It is a cyclic number.

It is not a de Polignac number, because 12201102221 - 218 = 12200840077 is a prime.

It is a super-2 number, since 2×122011022212 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12201102196 and 12201102205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12201102229) 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, 788285 + ... + 803613.

It is an arithmetic number, because the mean of its divisors is an integer number (950889240).

Almost surely, 212201102221 is an apocalyptic number.

12201102221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12201102221 is a deficient number, since it is larger than the sum of its proper divisors (3013125619).

12201102221 is a wasteful number, since it uses less digits than its factorization.

12201102221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25684.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12201102221 its reverse (12220110221), we get a palindrome (24421212442).

The spelling of 12201102221 in words is "twelve billion, two hundred one million, one hundred two thousand, two hundred twenty-one".

Divisors: 1 7 11 77 10337 15329 72359 107303 113707 168619 795949 1180333 158455873 1109191111 1743014603 12201102221