12172880 has 40 divisors (see below), whose sum is σ = 28792800. Its totient is φ = 4784768.

The previous prime is 12172877. The next prime is 12172891. The reversal of 12172880 is 8827121.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3431 + ... + 6009.

It is an arithmetic number, because the mean of its divisors is an integer number (719820).

Almost surely, 2^12172880 is an apocalyptic number.

12172880 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 12172880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14396400).

12172880 is an abundant number, since it is smaller than the sum of its proper divisors (16619920).

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

12172880 is a wasteful number, since it uses less digits than its factorization.

12172880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2651 (or 2645 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 29.

The square root of 12172880 is about 3488.9654627124. The cubic root of 12172880 is about 230.0370450727.

The spelling of 12172880 in words is "twelve million, one hundred seventy-two thousand, eight hundred eighty".