12105252 has 36 divisors (see below), whose sum is σ = 31589376. Its totient is φ = 3904560.

The previous prime is 12105211. The next prime is 12105271. The reversal of 12105252 is 25250121.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an alternating number because its digits alternate between odd and even.

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 11 ways as a sum of consecutive naturals, for example, 4308 + ... + 6539.

Almost surely, 2^12105252 is an apocalyptic number.

12105252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12105252 is an abundant number, since it is smaller than the sum of its proper divisors (19484124).

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

12105252 is a wasteful number, since it uses less digits than its factorization.

12105252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10888 (or 10883 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 12105252 is about 3479.2602662060. The cubic root of 12105252 is about 229.6102536021.

Adding to 12105252 its reverse (25250121), we get a palindrome (37355373).

It can be divided in two parts, 121052 and 52, that added together give a square (121104 = 348²).

The spelling of 12105252 in words is "twelve million, one hundred five thousand, two hundred fifty-two".