12011136 has 64 divisors (see below), whose sum is σ = 32966400. Its totient is φ = 3870720.

The previous prime is 12011123. The next prime is 12011143. The reversal of 12011136 is 63111021.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11400 + ... + 12408.

It is an arithmetic number, because the mean of its divisors is an integer number (515100).

Almost surely, 2^12011136 is an apocalyptic number.

12011136 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 12011136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16483200).

12011136 is an abundant number, since it is smaller than the sum of its proper divisors (20955264).

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

12011136 is a wasteful number, since it uses less digits than its factorization.

12011136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1057 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 12011136 is about 3465.7085855565. The cubic root of 12011136 is about 229.0136462695.

Adding to 12011136 its reverse (63111021), we get a palindrome (75122157).

The spelling of 12011136 in words is "twelve million, eleven thousand, one hundred thirty-six".