12661152 has 96 divisors (see below), whose sum is σ = 38610432. Its totient is φ = 3558144.

The previous prime is 12661147. The next prime is 12661153. The reversal of 12661152 is 25116621.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (12661153) 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, 55663 + ... + 55889.

It is an arithmetic number, because the mean of its divisors is an integer number (402192).

Almost surely, 2^12661152 is an apocalyptic number.

12661152 is a gapful number since it is divisible by the number (12) 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 12661152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19305216).

12661152 is an abundant number, since it is smaller than the sum of its proper divisors (25949280).

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

12661152 is a wasteful number, since it uses less digits than its factorization.

12661152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 322 counting only the distinct ones).

The product of its digits is 720, while the sum is 24.

The square root of 12661152 is about 3558.2512558840. The cubic root of 12661152 is about 233.0725212802.

Adding to 12661152 its reverse (25116621), we get a palindrome (37777773).

The spelling of 12661152 in words is "twelve million, six hundred sixty-one thousand, one hundred fifty-two".