12142200 has 192 divisors, whose sum is σ = 44640000. Its totient is φ = 2728320.

The previous prime is 12142177. The next prime is 12142217. The reversal of 12142200 is 224121.

12142200 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

12142200 is strictly pandigital in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 205771 + ... + 205829.

It is an arithmetic number, because the mean of its divisors is an integer number (232500).

Almost surely, 2^12142200 is an apocalyptic number.

12142200 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 12142200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22320000).

12142200 is an abundant number, since it is smaller than the sum of its proper divisors (32497800).

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

12142200 is a wasteful number, since it uses less digits than its factorization.

12142200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 12142200 is about 3484.5659701030. The cubic root of 12142200 is about 229.8436240135.

Adding to 12142200 its reverse (224121), we get a palindrome (12366321).

The spelling of 12142200 in words is "twelve million, one hundred forty-two thousand, two hundred".