12495168 has 112 divisors (see below), whose sum is σ = 42021760. Its totient is φ = 3566592.

The previous prime is 12495167. The next prime is 12495211. The reversal of 12495168 is 86159421.

12495168 is a `hidden beast` number, since 1 + 2 + 495 + 168 = 666.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×12495168² = 312258446696448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12495163) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 11580 + ... + 12612.

Almost surely, 2^12495168 is an apocalyptic number.

12495168 is a gapful number since it is divisible by the number (18) 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 12495168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21010880).

12495168 is an abundant number, since it is smaller than the sum of its proper divisors (29526592).

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

12495168 is a wasteful number, since it uses less digits than its factorization.

12495168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061 (or 1045 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 12495168 is about 3534.8504918879. The cubic root of 12495168 is about 232.0495336169.

The spelling of 12495168 in words is "twelve million, four hundred ninety-five thousand, one hundred sixty-eight".