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12201224211 = 3311313131251
BaseRepresentation
bin10110101110011111…
…11110100000010011
31011111022202102002000
423113033332200103
5144442003133321
65334414325043
7611233460151
oct132717764023
934438672060
1012201224211
1151a1300380
1224461b9783
1311c5a5a0c7
1483a63c3d1
154b626c826
hex2d73fe813

12201224211 has 32 divisors (see below), whose sum is σ = 19782301440. Its totient is φ = 7371000000.

The previous prime is 12201224179. The next prime is 12201224213. The reversal of 12201224211 is 11242210221.

12201224211 is a `hidden beast` number, since 1 + 220 + 1 + 22 + 421 + 1 = 666.

It is not a de Polignac number, because 12201224211 - 25 = 12201224179 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12201224213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27336 + ... + 158586.

It is an arithmetic number, because the mean of its divisors is an integer number (618196920).

Almost surely, 212201224211 is an apocalyptic number.

12201224211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12201224211 is a deficient number, since it is larger than the sum of its proper divisors (7581077229).

12201224211 is a wasteful number, since it uses less digits than its factorization.

12201224211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131584 (or 131578 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12201224211 its reverse (11242210221), we get a palindrome (23443434432).

The spelling of 12201224211 in words is "twelve billion, two hundred one million, two hundred twenty-four thousand, two hundred eleven".

Divisors: 1 3 9 11 27 33 99 297 313 939 2817 3443 8451 10329 30987 92961 131251 393753 1181259 1443761 3543777 4331283 12993849 38981547 41081563 123244689 369734067 451897193 1109202201 1355691579 4067074737 12201224211