12153141 has 96 divisors (see below), whose sum is σ = 25159680. Its totient is φ = 5443200.

The previous prime is 12153137. The next prime is 12153143. The reversal of 12153141 is 14135121.

It is not a de Polignac number, because 12153141 - 2² = 12153137 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12153143) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 171136 + ... + 171206.

It is an arithmetic number, because the mean of its divisors is an integer number (262080).

Almost surely, 2^12153141 is an apocalyptic number.

12153141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12153141 is an abundant number, since it is smaller than the sum of its proper divisors (13006539).

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

12153141 is a wasteful number, since it uses less digits than its factorization.

12153141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 124 counting only the distinct ones).

The product of its digits is 120, while the sum is 18.

The square root of 12153141 is about 3486.1355395337. The cubic root of 12153141 is about 229.9126385291.

Adding to 12153141 its reverse (14135121), we get a palindrome (26288262).

It can be divided in two parts, 1215 and 3141, that added together give a square (4356 = 66²).

The spelling of 12153141 in words is "twelve million, one hundred fifty-three thousand, one hundred forty-one".