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12211201213 is a prime number
BaseRepresentation
bin10110101111101100…
…00010010010111101
31011112000112021221121
423113312002102331
5200002031414323
65335412230541
7611414332501
oct132766022275
934460467847
1012211201213
1151a69a5232
12244960b451
1311c7b41363
1483bab8301
154b708da5d
hex2d7d824bd

12211201213 has 2 divisors, whose sum is σ = 12211201214. Its totient is φ = 12211201212.

The previous prime is 12211201199. The next prime is 12211201241. The reversal of 12211201213 is 31210211221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10945762884 + 1265438329 = 104622^2 + 35573^2 .

It is a cyclic number.

It is not a de Polignac number, because 12211201213 - 229 = 11674330301 is a prime.

It is a super-2 number, since 2×122112012132 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12211201253) 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 as a sum of consecutive naturals, namely, 6105600606 + 6105600607.

It is an arithmetic number, because the mean of its divisors is an integer number (6105600607).

Almost surely, 212211201213 is an apocalyptic number.

It is an amenable number.

12211201213 is a deficient number, since it is larger than the sum of its proper divisors (1).

12211201213 is an equidigital number, since it uses as much as digits as its factorization.

12211201213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 12211201213 its reverse (31210211221), we get a palindrome (43421412434).

The spelling of 12211201213 in words is "twelve billion, two hundred eleven million, two hundred one thousand, two hundred thirteen".