12115440 has 160 divisors (see below), whose sum is σ = 42854400. Its totient is φ = 3144960.

The previous prime is 12115421. The next prime is 12115463. The reversal of 12115440 is 4451121.

12115440 is a `hidden beast` number, since 121 + 1 + 544 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153321 + ... + 153399.

It is an arithmetic number, because the mean of its divisors is an integer number (267840).

Almost surely, 2^12115440 is an apocalyptic number.

12115440 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 12115440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21427200).

12115440 is an abundant number, since it is smaller than the sum of its proper divisors (30738960).

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

12115440 is a wasteful number, since it uses less digits than its factorization.

12115440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 12115440 is about 3480.7240626054. The cubic root of 12115440 is about 229.6746502599.

Adding to 12115440 its reverse (4451121), we get a palindrome (16566561).

It can be divided in two parts, 12 and 115440, that multiplied together give a triangular number (1385280 = T₁₆₆₄).

The spelling of 12115440 in words is "twelve million, one hundred fifteen thousand, four hundred forty".