13122324 has 60 divisors (see below), whose sum is σ = 34730388. Its totient is φ = 4320000.

The previous prime is 13122313. The next prime is 13122341. The reversal of 13122324 is 42322131.

It can be written as a sum of positive squares in 2 ways, for example, as 12830724 + 291600 = 3582^2 + 540^2 .

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.

It is a junction number, because it is equal to n+sod(n) for n = 13122297 and 13122306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 32524 + ... + 32924.

Almost surely, 2^13122324 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 13122324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17365194).

13122324 is an abundant number, since it is smaller than the sum of its proper divisors (21608064).

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

13122324 is a wasteful number, since it uses less digits than its factorization.

13122324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 507 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 13122324 is about 3622.4748446332. The cubic root of 13122324 is about 235.8686667527.

Adding to 13122324 its reverse (42322131), we get a palindrome (55444455).

It can be divided in two parts, 13122 and 324, that multiplied together give a cube (4251528 = 162³).

The spelling of 13122324 in words is "thirteen million, one hundred twenty-two thousand, three hundred twenty-four".