1220312129 has 2 divisors, whose sum is σ = 1220312130. Its totient is φ = 1220312128.

The previous prime is 1220312111. The next prime is 1220312147. The reversal of 1220312129 is 9212130221.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (1220312111) and next prime (1220312147).

It can be written as a sum of positive squares in only one way, i.e., 970197904 + 250114225 = 31148^2 + 15815^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1220312129 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (1220312629) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 610156064 + 610156065.

It is an arithmetic number, because the mean of its divisors is an integer number (610156065).

Almost surely, 2^1220312129 is an apocalyptic number.

It is an amenable number.

1220312129 is a deficient number, since it is larger than the sum of its proper divisors (1).

1220312129 is an equidigital number, since it uses as much as digits as its factorization.

1220312129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 1220312129 is about 34932.9662210354. The cubic root of 1220312129 is about 1068.6208478203.

The spelling of 1220312129 in words is "one billion, two hundred twenty million, three hundred twelve thousand, one hundred twenty-nine".