12283920 has 240 divisors, whose sum is σ = 47496960. Its totient is φ = 2914560.

The previous prime is 12283919. The next prime is 12283933. The reversal of 12283920 is 2938221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 261337 + ... + 261383.

It is an arithmetic number, because the mean of its divisors is an integer number (197904).

Almost surely, 2^12283920 is an apocalyptic number.

12283920 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 12283920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23748480).

12283920 is an abundant number, since it is smaller than the sum of its proper divisors (35213040).

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

12283920 is a wasteful number, since it uses less digits than its factorization.

12283920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 12283920 is about 3504.8423645009. The cubic root of 12283920 is about 230.7343885858.

It can be divided in two parts, 12283 and 920, that added together give a triangular number (13203 = T₁₆₂).

The spelling of 12283920 in words is "twelve million, two hundred eighty-three thousand, nine hundred twenty".