12400192 has 56 divisors (see below), whose sum is σ = 28529280. Its totient is φ = 5237760.

The previous prime is 12400183. The next prime is 12400231. The reversal of 12400192 is 29100421.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39717 + ... + 40027.

Almost surely, 2^12400192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12400192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14264640).

12400192 is an abundant number, since it is smaller than the sum of its proper divisors (16129088).

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

12400192 is an equidigital number, since it uses as much as digits as its factorization.

12400192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 12400192 is about 3521.3906343943. The cubic root of 12400192 is about 231.4601000730.

The spelling of 12400192 in words is "twelve million, four hundred thousand, one hundred ninety-two".