3123220222261 has 2 divisors, whose sum is σ = 3123220222262. Its totient is φ = 3123220222260.

The previous prime is 3123220222223. The next prime is 3123220222337. The reversal of 3123220222261 is 1622220223213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1809374716900 + 1313845505361 = 1345130^2 + 1146231^2 .

It is an emirp because it is prime and its reverse (1622220223213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3123220222261 - 2¹¹ = 3123220220213 is a prime.

It is a super-4 number, since 4×3123220222261⁴ (a number of 51 digits) contains 4444 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3123220222201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1561610111130 + 1561610111131.

It is an arithmetic number, because the mean of its divisors is an integer number (1561610111131).

Almost surely, 2^{3123220222261} is an apocalyptic number.

It is an amenable number.

3123220222261 is a deficient number, since it is larger than the sum of its proper divisors (1).

3123220222261 is an equidigital number, since it uses as much as digits as its factorization.

3123220222261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 3123220222261 its reverse (1622220223213), we get a palindrome (4745440445474).

The spelling of 3123220222261 in words is "three trillion, one hundred twenty-three billion, two hundred twenty million, two hundred twenty-two thousand, two hundred sixty-one".