12146064 has 80 divisors (see below), whose sum is σ = 36866688. Its totient is φ = 3373056.

The previous prime is 12146059. The next prime is 12146087. The reversal of 12146064 is 46064121.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 11944 + ... + 12920.

Almost surely, 2^12146064 is an apocalyptic number.

12146064 is a gapful number since it is divisible by the number (14) 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 12146064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18433344).

12146064 is an abundant number, since it is smaller than the sum of its proper divisors (24720624).

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

12146064 is a wasteful number, since it uses less digits than its factorization.

12146064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 12146064 is about 3485.1203709485. The cubic root of 12146064 is about 229.8680023956.

The spelling of 12146064 in words is "twelve million, one hundred forty-six thousand, sixty-four".