121448765025 has 81 divisors (see below), whose sum is σ = 253119309651. Its totient is φ = 55502707680.

The previous prime is 121448764999. The next prime is 121448765071. The reversal of 121448765025 is 520567844121.

The square root of 121448765025 is 348495.

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

121448765025 is a `hidden beast` number, since 1 + 21 + 44 + 87 + 6 + 502 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 43721555409 + 77727209616 = 209097^2 + 278796^2 .

It is not a de Polignac number, because 121448765025 - 2¹³ = 121448756833 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 36590316 + ... + 36593634.

Almost surely, 2^121448765025 is an apocalyptic number.

121448765025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

121448765025 is the 348495-th square number.

121448765025 is the 174248-th centered octagonal number.

It is an amenable number.

121448765025 is an abundant number, since it is smaller than the sum of its proper divisors (131670544626).

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

121448765025 is an frugal number, since it uses more digits than its factorization.

121448765025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6668 (or 3334 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 121448765025 in words is "one hundred twenty-one billion, four hundred forty-eight million, seven hundred sixty-five thousand, twenty-five".