12611040 has 192 divisors, whose sum is σ = 44706816. Its totient is φ = 2967552.

The previous prime is 12611029. The next prime is 12611047. The reversal of 12611040 is 4011621.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12611047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 268297 + ... + 268343.

It is an arithmetic number, because the mean of its divisors is an integer number (232848).

Almost surely, 2^12611040 is an apocalyptic number.

12611040 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 12611040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22353408).

12611040 is an abundant number, since it is smaller than the sum of its proper divisors (32095776).

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

12611040 is a wasteful number, since it uses less digits than its factorization.

12611040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 12611040 is about 3551.2026132002. The cubic root of 12611040 is about 232.7646195096.

Adding to 12611040 its reverse (4011621), we get a palindrome (16622661).

The spelling of 12611040 in words is "twelve million, six hundred eleven thousand, forty".