12248920 has 64 divisors (see below), whose sum is σ = 29548800. Its totient is φ = 4556160.

The previous prime is 12248917. The next prime is 12248921. The reversal of 12248920 is 2984221.

It is a super-3 number, since 3×12248920³ (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12248921) 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, 53847 + ... + 54073.

It is an arithmetic number, because the mean of its divisors is an integer number (461700).

Almost surely, 2^12248920 is an apocalyptic number.

12248920 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 12248920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14774400).

12248920 is an abundant number, since it is smaller than the sum of its proper divisors (17299880).

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

12248920 is a wasteful number, since it uses less digits than its factorization.

12248920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 12248920 is about 3499.8457108850. The cubic root of 12248920 is about 230.5150398852.

The spelling of 12248920 in words is "twelve million, two hundred forty-eight thousand, nine hundred twenty".