12076128 has 72 divisors (see below), whose sum is σ = 35636328. Its totient is φ = 4022784.

The previous prime is 12076117. The next prime is 12076159. The reversal of 12076128 is 82167021.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7000 + ... + 8552.

It is an arithmetic number, because the mean of its divisors is an integer number (494949).

Almost surely, 2^12076128 is an apocalyptic number.

12076128 is a gapful number since it is divisible by the number (18) 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 12076128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17818164).

12076128 is an abundant number, since it is smaller than the sum of its proper divisors (23560200).

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

12076128 is an equidigital number, since it uses as much as digits as its factorization.

12076128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1578 (or 1558 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 12076128 is about 3475.0723733471. The cubic root of 12076128 is about 229.4259661240.

Adding to 12076128 its sum of digits (27), we get a triangular number (12076155 = T₄₉₁₄).

The spelling of 12076128 in words is "twelve million, seventy-six thousand, one hundred twenty-eight".