13122384 has 80 divisors (see below), whose sum is σ = 38301120. Its totient is φ = 3834880.

The previous prime is 13122379. The next prime is 13122409. The reversal of 13122384 is 48322131.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14884 + ... + 15740.

It is an arithmetic number, because the mean of its divisors is an integer number (478764).

Almost surely, 2^13122384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13122384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19150560).

13122384 is an abundant number, since it is smaller than the sum of its proper divisors (25178736).

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

13122384 is a wasteful number, since it uses less digits than its factorization.

13122384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908 (or 902 counting only the distinct ones).

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

The square root of 13122384 is about 3622.4831262547. The cubic root of 13122384 is about 235.8690262444.

The spelling of 13122384 in words is "thirteen million, one hundred twenty-two thousand, three hundred eighty-four".