11879712 has 144 divisors (see below), whose sum is σ = 38525760. Its totient is φ = 3442176.

The previous prime is 11879683. The next prime is 11879713. The reversal of 11879712 is 21797811.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×11879712² = 282255114405888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11879713) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71053 + ... + 71219.

It is an arithmetic number, because the mean of its divisors is an integer number (267540).

Almost surely, 2^11879712 is an apocalyptic number.

11879712 is a gapful number since it is divisible by the number (12) 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 11879712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19262880).

11879712 is an abundant number, since it is smaller than the sum of its proper divisors (26646048).

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

11879712 is a wasteful number, since it uses less digits than its factorization.

11879712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 204 counting only the distinct ones).

The product of its digits is 7056, while the sum is 36.

The square root of 11879712 is about 3446.6958090322. The cubic root of 11879712 is about 228.1753037750.

The spelling of 11879712 in words is "eleven million, eight hundred seventy-nine thousand, seven hundred twelve".