12146112 has 168 divisors, whose sum is σ = 39940992. Its totient is φ = 3628800.

The previous prime is 12146107. The next prime is 12146117. The reversal of 12146112 is 21164121.

12146112 = 13³ + 14³ + ... + 83³.

It is an interprime number because it is at equal distance from previous prime (12146107) and next prime (12146117).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12146117) 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 23 ways as a sum of consecutive naturals, for example, 171037 + ... + 171107.

It is an arithmetic number, because the mean of its divisors is an integer number (237744).

Almost surely, 2^12146112 is an apocalyptic number.

12146112 is a gapful number since it is divisible by the number (12) 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 12146112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19970496).

12146112 is an abundant number, since it is smaller than the sum of its proper divisors (27794880).

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

12146112 is an equidigital number, since it uses as much as digits as its factorization.

12146112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 87 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 12146112 is about 3485.1272573609. The cubic root of 12146112 is about 229.8683052001.

Subtracting 12146112 from its reverse (21164121), we obtain a square (9018009 = 3003²).

The spelling of 12146112 in words is "twelve million, one hundred forty-six thousand, one hundred twelve".