12045558000 has 320 divisors, whose sum is σ = 45144253440. Its totient is φ = 2706048000.

The previous prime is 12045557989. The next prime is 12045558011. The reversal of 12045558000 is 85554021.

12045558000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12045557989) and next prime (12045558011).

It is a super-3 number, since 3×12045558000³ (a number of 31 digits) contains 333 as substring.

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

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2475570 + ... + 2480430.

It is an arithmetic number, because the mean of its divisors is an integer number (141075792).

Almost surely, 2^12045558000 is an apocalyptic number.

12045558000 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 12045558000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22572126720).

12045558000 is an abundant number, since it is smaller than the sum of its proper divisors (33098695440).

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

12045558000 is a wasteful number, since it uses less digits than its factorization.

12045558000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4953 (or 4937 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 30.

The spelling of 12045558000 in words is "twelve billion, forty-five million, five hundred fifty-eight thousand".