12155616 has 96 divisors (see below), whose sum is σ = 38707200. Its totient is φ = 3680640.

The previous prime is 12155587. The next prime is 12155617. The reversal of 12155616 is 61655121.

It is a happy number.

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 (27).

It is a self number, because there is not a number n which added to its sum of digits gives 12155616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12155617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8865 + ... + 10143.

It is an arithmetic number, because the mean of its divisors is an integer number (403200).

Almost surely, 2^12155616 is an apocalyptic number.

12155616 is a gapful number since it is divisible by the number (16) 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 12155616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19353600).

12155616 is an abundant number, since it is smaller than the sum of its proper divisors (26551584).

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

12155616 is a wasteful number, since it uses less digits than its factorization.

12155616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309 (or 1295 counting only the distinct ones).

The product of its digits is 1800, while the sum is 27.

The square root of 12155616 is about 3486.4904990549. The cubic root of 12155616 is about 229.9282447870.

The spelling of 12155616 in words is "twelve million, one hundred fifty-five thousand, six hundred sixteen".