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12420 = 2233523

12420 has 48 divisors (see below), whose sum is σ = 40320. Its totient is φ = 3168.

The previous prime is 12413. The next prime is 12421. The reversal of 12420 is 2421.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (12421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 529 + ... + 551.

It is an arithmetic number, because the mean of its divisors is an integer number (840).

212420 is an apocalyptic number.

12420 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 12420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20160).

12420 is an abundant number, since it is smaller than the sum of its proper divisors (27900).

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

12420 is a wasteful number, since it uses less digits than its factorization.

12420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 12420 is about 111.4450537260. The cubic root of 12420 is about 23.1583278881.

Adding to 12420 its reverse (2421), we get a palindrome (14841).

Subtracting from 12420 its reverse (2421), we obtain a palindrome (9999).

It can be divided in two parts, 124 and 20, that added together give a square (144 = 122).

The spelling of 12420 in words is "twelve thousand, four hundred twenty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 27 30 36 45 46 54 60 69 90 92 108 115 135 138 180 207 230 270 276 345 414 460 540 621 690 828 1035 1242 1380 2070 2484 3105 4140 6210 12420