12386449920 has 320 divisors, whose sum is σ = 43117240320. Its totient is φ = 3015180288.

The previous prime is 12386449909. The next prime is 12386449937. The reversal of 12386449920 is 2994468321.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 12386449920.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9683841 + ... + 9685119.

It is an arithmetic number, because the mean of its divisors is an integer number (134741376).

Almost surely, 2^12386449920 is an apocalyptic number.

12386449920 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 12386449920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21558620160).

12386449920 is an abundant number, since it is smaller than the sum of its proper divisors (30730790400).

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

12386449920 is a wasteful number, since it uses less digits than its factorization.

12386449920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1415 (or 1399 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The spelling of 12386449920 in words is "twelve billion, three hundred eighty-six million, four hundred forty-nine thousand, nine hundred twenty".