12186720 has 384 divisors, whose sum is σ = 54190080. Its totient is φ = 2488320.

The previous prime is 12186719. The next prime is 12186721. The reversal of 12186720 is 2768121.

12186720 is digitally balanced in base 2, base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12186719) and next prime (12186721).

It is a super-2 number, since 2×12186720² = 297032288716800, which contains 22 as substring.

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

12186720 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12186721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 393105 + ... + 393135.

It is an arithmetic number, because the mean of its divisors is an integer number (141120).

Almost surely, 2^12186720 is an apocalyptic number.

12186720 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 12186720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27095040).

12186720 is an abundant number, since it is smaller than the sum of its proper divisors (42003360).

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

12186720 is a wasteful number, since it uses less digits than its factorization.

12186720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 61 counting only the distinct ones).

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

The square root of 12186720 is about 3490.9482952344. The cubic root of 12186720 is about 230.1241925373.

The spelling of 12186720 in words is "twelve million, one hundred eighty-six thousand, seven hundred twenty".