121145969996689 has 81 divisors (see below), whose sum is σ = 143647827856113. Its totient is φ = 102071111788800.

The previous prime is 121145969996677. The next prime is 121145969996717. The reversal of 121145969996689 is 986699969541121.

The square root of 121145969996689 is 11006633.

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

It can be written as a sum of positive squares in 4 ways, for example, as 15958546884225 + 105187423112464 = 3994815^2 + 10256092^2 .

It is not a de Polignac number, because 121145969996689 - 2²⁵ = 121145936442257 is a prime.

It is a super-3 number, since 3×121145969996689³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121145969996089) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 146135065927 + ... + 146135066755.

Almost surely, 2^{121145969996689} is an apocalyptic number.

121145969996689 is the 11006633-rd square number.

121145969996689 is the 5503317-th centered octagonal number.

It is an amenable number.

121145969996689 is a deficient number, since it is larger than the sum of its proper divisors (22501857859424).

121145969996689 is an frugal number, since it uses more digits than its factorization.

121145969996689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1856 (or 928 counting only the distinct ones).

The product of its digits is 4081466880, while the sum is 85.

The spelling of 121145969996689 in words is "one hundred twenty-one trillion, one hundred forty-five billion, nine hundred sixty-nine million, nine hundred ninety-six thousand, six hundred eighty-nine".