12146280 has 64 divisors (see below), whose sum is σ = 36771840. Its totient is φ = 3209472.

The previous prime is 12146221. The next prime is 12146287. The reversal of 12146280 is 8264121.

12146280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12146280.

It is not an unprimeable number, because it can be changed into a prime (12146287) 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, 14842 + ... + 15638.

It is an arithmetic number, because the mean of its divisors is an integer number (574560).

Almost surely, 2^12146280 is an apocalyptic number.

12146280 is a gapful number since it is divisible by the number (10) 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 12146280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18385920).

12146280 is an abundant number, since it is smaller than the sum of its proper divisors (24625560).

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

12146280 is a wasteful number, since it uses less digits than its factorization.

12146280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 12146280 is about 3485.1513596973. The cubic root of 12146280 is about 229.8693650097.

The spelling of 12146280 in words is "twelve million, one hundred forty-six thousand, two hundred eighty".