13242000 has 80 divisors (see below), whose sum is σ = 42711552. Its totient is φ = 3529600.

The previous prime is 13241983. The next prime is 13242001. The reversal of 13242000 is 24231.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (13242001) 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, 4897 + ... + 7103.

Almost surely, 2^13242000 is an apocalyptic number.

13242000 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 13242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21355776).

13242000 is an abundant number, since it is smaller than the sum of its proper divisors (29469552).

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

13242000 is a wasteful number, since it uses less digits than its factorization.

13242000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2233 (or 2217 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 13242000 is about 3638.9558942092. The cubic root of 13242000 is about 236.5835410861.

Adding to 13242000 its reverse (24231), we get a palindrome (13266231).

The spelling of 13242000 in words is "thirteen million, two hundred forty-two thousand".