1217110066720 has 96 divisors (see below), whose sum is σ = 2943674259120. Its totient is φ = 475420262400.

The previous prime is 1217110066691. The next prime is 1217110066721. The reversal of 1217110066720 is 276600117121.

It can be written as a sum of positive squares in 8 ways, for example, as 1046848200336 + 170261866384 = 1023156^2 + 412628^2 .

It is a super-3 number, since 3×1217110066720³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1217110066721) 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 15 ways as a sum of consecutive naturals, for example, 663816 + ... + 1695544.

Almost surely, 2^{1217110066720} is an apocalyptic number.

1217110066720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1217110066720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1471837129560).

1217110066720 is an abundant number, since it is smaller than the sum of its proper divisors (1726564192400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1217110066720 is a wasteful number, since it uses less digits than its factorization.

1217110066720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031918 (or 1031910 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 34.

The spelling of 1217110066720 in words is "one trillion, two hundred seventeen billion, one hundred ten million, sixty-six thousand, seven hundred twenty".