12101985 has 48 divisors (see below), whose sum is σ = 24271104. Its totient is φ = 5463936.

The previous prime is 12101927. The next prime is 12102001. The reversal of 12101985 is 58910121.

It is not a de Polignac number, because 12101985 - 2⁷ = 12101857 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32259 + ... + 32631.

It is an arithmetic number, because the mean of its divisors is an integer number (505648).

Almost surely, 2^12101985 is an apocalyptic number.

12101985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12101985 is an abundant number, since it is smaller than the sum of its proper divisors (12169119).

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

12101985 is a wasteful number, since it uses less digits than its factorization.

12101985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The square root of 12101985 is about 3478.7907381733. The cubic root of 12101985 is about 229.5895957864.

It can be divided in two parts, 121019 and 85, that added together give a square (121104 = 348²).

The spelling of 12101985 in words is "twelve million, one hundred one thousand, nine hundred eighty-five".