121285125 has 48 divisors (see below), whose sum is σ = 235483248. Its totient is φ = 59702400.

The previous prime is 121285103. The next prime is 121285183. The reversal of 121285125 is 521582121.

It is a happy number.

121285125 is a `hidden beast` number, since 121 + 28 + 512 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 80299521 + 40985604 = 8961^2 + 6402^2 .

It is not a de Polignac number, because 121285125 - 2¹⁰ = 121284101 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10479 + ... + 18771.

It is an arithmetic number, because the mean of its divisors is an integer number (4905901).

Almost surely, 2^121285125 is an apocalyptic number.

121285125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

121285125 is a deficient number, since it is larger than the sum of its proper divisors (114198123).

121285125 is a wasteful number, since it uses less digits than its factorization.

121285125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8327 (or 8314 counting only the distinct ones).

The product of its digits is 1600, while the sum is 27.

The square root of 121285125 is about 11012.9526013690. The cubic root of 121285125 is about 494.9969390689.

The spelling of 121285125 in words is "one hundred twenty-one million, two hundred eighty-five thousand, one hundred twenty-five".