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12220312961 is a prime number
BaseRepresentation
bin10110110000110001…
…10010110110000001
31011112122200012220202
423120120302312001
5200011400003321
65340335414545
7611554642403
oct133030626601
934478605822
1012220312961
115201058aaa
122450684455
1311c99b181c
1483cdaab73
154b7c8d70b
hex2d8632d81

12220312961 has 2 divisors, whose sum is σ = 12220312962. Its totient is φ = 12220312960.

The previous prime is 12220312957. The next prime is 12220313003. The reversal of 12220312961 is 16921302221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7238776561 + 4981536400 = 85081^2 + 70580^2 .

It is a cyclic number.

It is not a de Polignac number, because 12220312961 - 22 = 12220312957 is a prime.

It is not a weakly prime, because it can be changed into another prime (12220342961) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6110156480 + 6110156481.

It is an arithmetic number, because the mean of its divisors is an integer number (6110156481).

Almost surely, 212220312961 is an apocalyptic number.

It is an amenable number.

12220312961 is a deficient number, since it is larger than the sum of its proper divisors (1).

12220312961 is an equidigital number, since it uses as much as digits as its factorization.

12220312961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 29.

The spelling of 12220312961 in words is "twelve billion, two hundred twenty million, three hundred twelve thousand, nine hundred sixty-one".