12533040 has 180 divisors, whose sum is σ = 46019376. Its totient is φ = 3055104.

The previous prime is 12533039. The next prime is 12533041. The reversal of 12533040 is 4033521.

It is an interprime number because it is at equal distance from previous prime (12533039) and next prime (12533041).

It is a tau number, because it is divible by the number of its divisors (180).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12533041) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 121629 + ... + 121731.

Almost surely, 2^12533040 is an apocalyptic number.

12533040 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 12533040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23009688).

12533040 is an abundant number, since it is smaller than the sum of its proper divisors (33486336).

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

12533040 is a wasteful number, since it uses less digits than its factorization.

12533040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 12533040 is about 3540.2033839880. The cubic root of 12533040 is about 232.2837392465.

Adding to 12533040 its reverse (4033521), we get a palindrome (16566561).

The spelling of 12533040 in words is "twelve million, five hundred thirty-three thousand, forty".