12190400 has 84 divisors (see below), whose sum is σ = 31653480. Its totient is φ = 4608000.

The previous prime is 12190379. The next prime is 12190417. The reversal of 12190400 is 409121.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30200 + ... + 30600.

Almost surely, 2^12190400 is an apocalyptic number.

12190400 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 12190400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15826740).

12190400 is an abundant number, since it is smaller than the sum of its proper divisors (19463080).

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

12190400 is a wasteful number, since it uses less digits than its factorization.

12190400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 12190400 is about 3491.4753328643. The cubic root of 12190400 is about 230.1473535903.

Adding to 12190400 its reverse (409121), we get a palindrome (12599521).

The spelling of 12190400 in words is "twelve million, one hundred ninety thousand, four hundred".