121455735025 has 27 divisors (see below), whose sum is σ = 153981484491. Its totient is φ = 95033131440.

The previous prime is 121455735019. The next prime is 121455735061. The reversal of 121455735025 is 520537554121.

The square root of 121455735025 is 348505.

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., 43724064609 + 77731670416 = 209103^2 + 278804^2 .

It is not a de Polignac number, because 121455735025 - 2⁹ = 121455734513 is a prime.

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 26 ways as a sum of consecutive naturals, for example, 81897934 + ... + 81899416.

Almost surely, 2^121455735025 is an apocalyptic number.

121455735025 is the 348505-th square number.

121455735025 is the 174253-rd centered octagonal number.

It is an amenable number.

121455735025 is a deficient number, since it is larger than the sum of its proper divisors (32525749466).

121455735025 is an frugal number, since it uses more digits than its factorization.

121455735025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3070 (or 1535 counting only the distinct ones).

The product of its (nonzero) digits is 210000, while the sum is 40.

The spelling of 121455735025 in words is "one hundred twenty-one billion, four hundred fifty-five million, seven hundred thirty-five thousand, twenty-five".