12058867920 has 160 divisors (see below), whose sum is σ = 40821387264. Its totient is φ = 2920460800.

The previous prime is 12058867903. The next prime is 12058867949. The reversal of 12058867920 is 2976885021.

12058867920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 12058867920.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3987529 + ... + 3990551.

Almost surely, 2^12058867920 is an apocalyptic number.

12058867920 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 12058867920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20410693632).

12058867920 is an abundant number, since it is smaller than the sum of its proper divisors (28762519344).

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

12058867920 is a wasteful number, since it uses less digits than its factorization.

12058867920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4561 (or 4555 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

It can be divided in two parts, 12058 and 867920, that added together give a palindrome (879978).

The spelling of 12058867920 in words is "twelve billion, fifty-eight million, eight hundred sixty-seven thousand, nine hundred twenty".