1221233311261 has 2 divisors, whose sum is σ = 1221233311262. Its totient is φ = 1221233311260.

The previous prime is 1221233311229. The next prime is 1221233311279. The reversal of 1221233311261 is 1621133321221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1101166903225 + 120066408036 = 1049365^2 + 346506^2 .

It is a cyclic number.

It is not a de Polignac number, because 1221233311261 - 2⁵ = 1221233311229 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1221233314261) 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, 610616655630 + 610616655631.

It is an arithmetic number, because the mean of its divisors is an integer number (610616655631).

Almost surely, 2^{1221233311261} is an apocalyptic number.

It is an amenable number.

1221233311261 is a deficient number, since it is larger than the sum of its proper divisors (1).

1221233311261 is an equidigital number, since it uses as much as digits as its factorization.

1221233311261 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2592, while the sum is 28.

Adding to 1221233311261 its reverse (1621133321221), we get a palindrome (2842366632482).

The spelling of 1221233311261 in words is "one trillion, two hundred twenty-one billion, two hundred thirty-three million, three hundred eleven thousand, two hundred sixty-one".