12106368 has 128 divisors (see below), whose sum is σ = 37209600. Its totient is φ = 3870720.

The previous prime is 12106361. The next prime is 12106373. The reversal of 12106368 is 86360121.

12106368 = 57³ + 58³ + ... + 87³.

12106368 is a `hidden beast` number, since 1 + 21 + 0 + 636 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12106361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107080 + ... + 107192.

It is an arithmetic number, because the mean of its divisors is an integer number (290700).

Almost surely, 2^12106368 is an apocalyptic number.

12106368 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 12106368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18604800).

12106368 is an abundant number, since it is smaller than the sum of its proper divisors (25103232).

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

12106368 is a wasteful number, since it uses less digits than its factorization.

12106368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 12106368 is about 3479.4206414287. The cubic root of 12106368 is about 229.6173094147.

Adding to 12106368 its reverse (86360121), we get a palindrome (98466489).

The spelling of 12106368 in words is "twelve million, one hundred six thousand, three hundred sixty-eight".