1303120420849 has 9 divisors (see below), whose sum is σ = 1411087294539. Its totient is φ = 1202866689960.

The previous prime is 1303120420781. The next prime is 1303120420853. The reversal of 1303120420849 is 9480240213031.

The square root of 1303120420849 is 1141543.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 192769293025 + 1110351127824 = 439055^2 + 1053732^2 .

It is not a de Polignac number, because 1303120420849 - 2⁹ = 1303120420337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1303120420549) 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 in 8 ways as a sum of consecutive naturals, for example, 14796154 + ... + 14883964.

It is an arithmetic number, because the mean of its divisors is an integer number (156787477171).

Almost surely, 2^{1303120420849} is an apocalyptic number.

1303120420849 is the 1141543-rd square number.

1303120420849 is the 570772-nd centered octagonal number.

It is an amenable number.

1303120420849 is a deficient number, since it is larger than the sum of its proper divisors (107966873690).

1303120420849 is an frugal number, since it uses more digits than its factorization.

1303120420849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175648 (or 87824 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

It can be divided in two parts, 1303120 and 420849, that added together give a square (1723969 = 1313²).

The spelling of 1303120420849 in words is "one trillion, three hundred three billion, one hundred twenty million, four hundred twenty thousand, eight hundred forty-nine".