121155479914225 has 27 divisors (see below), whose sum is σ = 153989248651459. Its totient is φ = 94558613436800.

The previous prime is 121155479914123. The next prime is 121155479914237. The reversal of 121155479914225 is 522419974551121.

The square root of 121155479914225 is 11007065.

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

It can be written as a sum of positive squares in 13 ways, for example, as 114075921280689 + 7079558633536 = 10680633^2 + 2660744^2 .

It is a de Polignac number, because none of the positive numbers 2^k-121155479914225 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 121155479914225.

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, 2256421479 + ... + 2256475171.

Almost surely, 2^{121155479914225} is an apocalyptic number.

121155479914225 is the 11007065-th square number.

121155479914225 is the 5503533-rd centered octagonal number.

It is an amenable number.

121155479914225 is a deficient number, since it is larger than the sum of its proper divisors (32833768737234).

121155479914225 is an frugal number, since it uses more digits than its factorization.

121155479914225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107478 (or 53739 counting only the distinct ones).

The product of its digits is 9072000, while the sum is 58.

The spelling of 121155479914225 in words is "one hundred twenty-one trillion, one hundred fifty-five billion, four hundred seventy-nine million, nine hundred fourteen thousand, two hundred twenty-five".