11812080 has 160 divisors (see below), whose sum is σ = 42854400. Its totient is φ = 2635776.

The previous prime is 11812067. The next prime is 11812123. The reversal of 11812080 is 8021811.

11812080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132676 + ... + 132764.

It is an arithmetic number, because the mean of its divisors is an integer number (267840).

Almost surely, 2^11812080 is an apocalyptic number.

11812080 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 11812080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21427200).

11812080 is an abundant number, since it is smaller than the sum of its proper divisors (31042320).

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

11812080 is a wasteful number, since it uses less digits than its factorization.

11812080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 21.

The square root of 11812080 is about 3436.8706696645. The cubic root of 11812080 is about 227.7414736685.

Adding to 11812080 its reverse (8021811), we get a palindrome (19833891).

The spelling of 11812080 in words is "eleven million, eight hundred twelve thousand, eighty".