1263962796121 has 27 divisors (see below), whose sum is σ = 1377088075063. Its totient is φ = 1159877588480.

The previous prime is 1263962796077. The next prime is 1263962796137. The reversal of 1263962796121 is 1216972693621.

The square root of 1263962796121 is 1124261.

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

It can be written as a sum of positive squares in 13 ways, for example, as 809659835721 + 454302960400 = 899811^2 + 674020^2 .

It is not a de Polignac number, because 1263962796121 - 2⁹ = 1263962795609 is a prime.

It is a super-2 number, since 2×1263962796121² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1263962796521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 783609111 + ... + 783610723.

Almost surely, 2^{1263962796121} is an apocalyptic number.

1263962796121 is the 1124261-st square number.

1263962796121 is the 562131-st centered octagonal number.

It is an amenable number.

1263962796121 is a deficient number, since it is larger than the sum of its proper divisors (113125278942).

1263962796121 is an frugal number, since it uses more digits than its factorization.

1263962796121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3342 (or 1671 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 55.

The spelling of 1263962796121 in words is "one trillion, two hundred sixty-three billion, nine hundred sixty-two million, seven hundred ninety-six thousand, one hundred twenty-one".