12136960 has 80 divisors (see below), whose sum is σ = 31819392. Its totient is φ = 4403200.

The previous prime is 12136937. The next prime is 12137003. The reversal of 12136960 is 6963121.

12136960 = T₁₄₈₀ + T₁₄₈₁ + ... + T₁₄₉₀.

It is a tau number, because it is divible by the number of its divisors (80).

It is a nialpdrome in base 16.

It is a congruent number.

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, 27945 + ... + 28375.

Almost surely, 2^12136960 is an apocalyptic number.

12136960 is a gapful number since it is divisible by the number (10) 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 12136960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15909696).

12136960 is an abundant number, since it is smaller than the sum of its proper divisors (19682432).

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

12136960 is an equidigital number, since it uses as much as digits as its factorization.

12136960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 12136960 is about 3483.8140019238. The cubic root of 12136960 is about 229.8105560389.

The spelling of 12136960 in words is "twelve million, one hundred thirty-six thousand, nine hundred sixty".