12259920 has 80 divisors (see below), whose sum is σ = 39676032. Its totient is φ = 3125760.

The previous prime is 12259879. The next prime is 12259937. The reversal of 12259920 is 2995221.

12259920 = T₅ + T₆ + ... + T₄₁₈.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4410 + ... + 6630.

Almost surely, 2^12259920 is an apocalyptic number.

12259920 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 12259920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19838016).

12259920 is an abundant number, since it is smaller than the sum of its proper divisors (27416112).

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

12259920 is a wasteful number, since it uses less digits than its factorization.

12259920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2260 (or 2254 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 12259920 is about 3501.4168560741. The cubic root of 12259920 is about 230.5840230221.

The spelling of 12259920 in words is "twelve million, two hundred fifty-nine thousand, nine hundred twenty".