121345632409 has 27 divisors (see below), whose sum is σ = 133397615133. Its totient is φ = 110356329600.

The previous prime is 121345632371. The next prime is 121345632433. The reversal of 121345632409 is 904236543121.

The square root of 121345632409 is 348347.

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 39794265225 + 81551367184 = 199485^2 + 285572^2 .

It is not a de Polignac number, because 121345632409 - 2⁷ = 121345632281 is a prime.

It is a super-2 number, since 2×121345632409² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121345632439) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 183578539 + ... + 183579199.

Almost surely, 2^121345632409 is an apocalyptic number.

121345632409 is the 348347-th square number.

121345632409 is the 174174-th centered octagonal number.

It is an amenable number.

121345632409 is a deficient number, since it is larger than the sum of its proper divisors (12051982724).

121345632409 is an frugal number, since it uses more digits than its factorization.

121345632409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1418 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 40.

The spelling of 121345632409 in words is "one hundred twenty-one billion, three hundred forty-five million, six hundred thirty-two thousand, four hundred nine".