121986040225 has 81 divisors (see below), whose sum is σ = 187236972633. Its totient is φ = 78593007360.

The previous prime is 121986040213. The next prime is 121986040243. The reversal of 121986040225 is 522040689121.

It is a happy number.

The square root of 121986040225 is 349265.

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 2853375889 + 119132664336 = 53417^2 + 345156^2 .

It is not a de Polignac number, because 121986040225 - 2¹¹ = 121986038177 is a prime.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 207812382 + ... + 207812968.

Almost surely, 2^121986040225 is an apocalyptic number.

121986040225 is the 349265-th square number.

121986040225 is the 174633-rd centered octagonal number.

It is an amenable number.

121986040225 is a deficient number, since it is larger than the sum of its proper divisors (65250932408).

121986040225 is an frugal number, since it uses more digits than its factorization.

121986040225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The spelling of 121986040225 in words is "one hundred twenty-one billion, nine hundred eighty-six million, forty thousand, two hundred twenty-five".