12180096 has 96 divisors (see below), whose sum is σ = 35735700. Its totient is φ = 3981312.

The previous prime is 12180079. The next prime is 12180101. The reversal of 12180096 is 69008121.

It can be written as a sum of positive squares in 2 ways, for example, as 12110400 + 69696 = 3480^2 + 264^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 111690 + ... + 111798.

Almost surely, 2^12180096 is an apocalyptic number.

12180096 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 12180096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17867850).

12180096 is an abundant number, since it is smaller than the sum of its proper divisors (23555604).

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

12180096 is a wasteful number, since it uses less digits than its factorization.

12180096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 12180096 is about 3489.9994269341. Note that the first 3 decimals coincide. The cubic root of 12180096 is about 230.0824908895.

The spelling of 12180096 in words is "twelve million, one hundred eighty thousand, ninety-six".