12541900 has 144 divisors (see below), whose sum is σ = 34997760. Its totient is φ = 3801600.

The previous prime is 12541897. The next prime is 12541901. The reversal of 12541900 is 914521.

It is a super-2 number, since 2×12541900² = 314598511220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12541901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 305880 + ... + 305920.

It is an arithmetic number, because the mean of its divisors is an integer number (243040).

Almost surely, 2^12541900 is an apocalyptic number.

12541900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12541900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17498880).

12541900 is an abundant number, since it is smaller than the sum of its proper divisors (22455860).

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

12541900 is a wasteful number, since it uses less digits than its factorization.

12541900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 12541900 is about 3541.4545034491. The cubic root of 12541900 is about 232.3384625793.

It can be divided in two parts, 125 and 41900, that added together give a square (42025 = 205²).

The spelling of 12541900 in words is "twelve million, five hundred forty-one thousand, nine hundred".