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12211312001 = 721271962287
BaseRepresentation
bin10110101111101100…
…11101010110000001
31011112000201220220212
423113312131112001
5200002043441001
65335414443505
7611415303500
oct132766352601
934460656825
1012211312001
1151a6a70499
122449663595
1311c7b7c905
1483bb06837
154b70b17bb
hex2d7d9d581

12211312001 has 12 divisors (see below), whose sum is σ = 14316853248. Its totient is φ = 10384417512.

The previous prime is 12211311947. The next prime is 12211312019. The reversal of 12211312001 is 10021311221.

It is a de Polignac number, because none of the positive numbers 2k-12211312001 is a prime.

It is a super-2 number, since 2×122113120012 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12211312051) 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 11 ways as a sum of consecutive naturals, for example, 974921 + ... + 987366.

It is an arithmetic number, because the mean of its divisors is an integer number (1193071104).

Almost surely, 212211312001 is an apocalyptic number.

It is an amenable number.

12211312001 is a deficient number, since it is larger than the sum of its proper divisors (2105541247).

12211312001 is a wasteful number, since it uses less digits than its factorization.

12211312001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1962428 (or 1962421 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 12211312001 its reverse (10021311221), we get a palindrome (22232623222).

The spelling of 12211312001 in words is "twelve billion, two hundred eleven million, three hundred twelve thousand, one".

Divisors: 1 7 49 127 889 6223 1962287 13736009 96152063 249210449 1744473143 12211312001