121569698998225 has 27 divisors (see below), whose sum is σ = 151005615196827. Its totient is φ = 97088827602480.

The previous prime is 121569698998219. The next prime is 121569698998249. The reversal of 121569698998225 is 522899896965121.

The square root of 121569698998225 is 11025865.

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., 43765091639361 + 77804607358864 = 6615519^2 + 8820692^2 .

It is a de Polignac number, because none of the positive numbers 2^k-121569698998225 is a prime.

It is a super-3 number, since 3×121569698998225³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 39637983142 + ... + 39637986208.

Almost surely, 2^{121569698998225} is an apocalyptic number.

121569698998225 is the 11025865-th square number.

121569698998225 is the 5512933-rd centered octagonal number.

It is an amenable number.

121569698998225 is a deficient number, since it is larger than the sum of its proper divisors (29435916198602).

121569698998225 is an frugal number, since it uses more digits than its factorization.

121569698998225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7582 (or 3791 counting only the distinct ones).

The product of its digits is 3023308800, while the sum is 82.

The spelling of 121569698998225 in words is "one hundred twenty-one trillion, five hundred sixty-nine billion, six hundred ninety-eight million, nine hundred ninety-eight thousand, two hundred twenty-five".