12558021120 has 240 divisors, whose sum is σ = 45782605440. Its totient is φ = 3172442112.

The previous prime is 12558021107. The next prime is 12558021121. The reversal of 12558021120 is 2112085521.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (12558021121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 423417 + ... + 452103.

It is an arithmetic number, because the mean of its divisors is an integer number (190760856).

Almost surely, 2^12558021120 is an apocalyptic number.

12558021120 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 12558021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22891302720).

12558021120 is an abundant number, since it is smaller than the sum of its proper divisors (33224584320).

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

12558021120 is a wasteful number, since it uses less digits than its factorization.

12558021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28735 (or 28716 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The spelling of 12558021120 in words is "twelve billion, five hundred fifty-eight million, twenty-one thousand, one hundred twenty".