220112729 has 2 divisors, whose sum is σ = 220112730. Its totient is φ = 220112728.

The previous prime is 220112713. The next prime is 220112731. The reversal of 220112729 is 927211022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 169702729 + 50410000 = 13027^2 + 7100^2 .

It is a cyclic number.

It is not a de Polignac number, because 220112729 - 2⁴ = 220112713 is a prime.

It is a super-2 number, since 2×220112729² = 96899226935654882, which contains 22 as substring.

Together with 220112731, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 220112698 and 220112707.

It is not a weakly prime, because it can be changed into another prime (220112749) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110056364 + 110056365.

It is an arithmetic number, because the mean of its divisors is an integer number (110056365).

Almost surely, 2^220112729 is an apocalyptic number.

It is an amenable number.

220112729 is a deficient number, since it is larger than the sum of its proper divisors (1).

220112729 is an equidigital number, since it uses as much as digits as its factorization.

220112729 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 220112729 is about 14836.1965813344. The cubic root of 220112729 is about 603.7841657155.

The spelling of 220112729 in words is "two hundred twenty million, one hundred twelve thousand, seven hundred twenty-nine".