12011040 has 144 divisors (see below), whose sum is σ = 43243200. Its totient is φ = 3027456.

The previous prime is 12011029. The next prime is 12011047. The reversal of 12011040 is 4011021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12011047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27141 + ... + 27579.

It is an arithmetic number, because the mean of its divisors is an integer number (300300).

Almost surely, 2^12011040 is an apocalyptic number.

12011040 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 12011040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21621600).

12011040 is an abundant number, since it is smaller than the sum of its proper divisors (31232160).

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

12011040 is a wasteful number, since it uses less digits than its factorization.

12011040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 12011040 is about 3465.6947355473. The cubic root of 12011040 is about 229.0130361311.

Adding to 12011040 its reverse (4011021), we get a palindrome (16022061).

The spelling of 12011040 in words is "twelve million, eleven thousand, forty".