12141600 has 72 divisors (see below), whose sum is σ = 39528720. Its totient is φ = 3237120.

The previous prime is 12141599. The next prime is 12141601. The reversal of 12141600 is 614121.

It is an interprime number because it is at equal distance from previous prime (12141599) and next prime (12141601).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 12141600.

It is not an unprimeable number, because it can be changed into a prime (12141601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 130 + ... + 4929.

It is an arithmetic number, because the mean of its divisors is an integer number (549010).

Almost surely, 2^12141600 is an apocalyptic number.

12141600 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 12141600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19764360).

12141600 is an abundant number, since it is smaller than the sum of its proper divisors (27387120).

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

12141600 is a wasteful number, since it uses less digits than its factorization.

12141600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5082 (or 5069 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 12141600 is about 3484.4798751033. The cubic root of 12141600 is about 229.8398380866.

Adding to 12141600 its reverse (614121), we get a palindrome (12755721).

The spelling of 12141600 in words is "twelve million, one hundred forty-one thousand, six hundred".