12145200 has 120 divisors (see below), whose sum is σ = 40362000. Its totient is φ = 3118080.

The previous prime is 12145193. The next prime is 12145201. The reversal of 12145200 is 254121.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a self number, because there is not a number n which added to its sum of digits gives 12145200.

It is not an unprimeable number, because it can be changed into a prime (12145201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34626 + ... + 34974.

It is an arithmetic number, because the mean of its divisors is an integer number (336350).

Almost surely, 2^12145200 is an apocalyptic number.

12145200 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 12145200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20181000).

12145200 is an abundant number, since it is smaller than the sum of its proper divisors (28216800).

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

12145200 is a wasteful number, since it uses less digits than its factorization.

12145200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 12145200 is about 3484.9964131976. The cubic root of 12145200 is about 229.8625517776.

Adding to 12145200 its reverse (254121), we get a palindrome (12399321).

It can be divided in two parts, 12 and 145200, that multiplied together give a square (1742400 = 1320²).

The spelling of 12145200 in words is "twelve million, one hundred forty-five thousand, two hundred".