12000058540800 has 864 divisors, whose sum is σ = 44189181711360. Its totient is φ = 2843443200000.

The previous prime is 12000058540777. The next prime is 12000058540853. The reversal of 12000058540800 is 804585000021.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1685161240 + ... + 1685168360.

It is an arithmetic number, because the mean of its divisors is an integer number (51144886240).

Almost surely, 2^{12000058540800} is an apocalyptic number.

12000058540800 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 12000058540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22094590855680).

12000058540800 is an abundant number, since it is smaller than the sum of its proper divisors (32189123170560).

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

12000058540800 is a wasteful number, since it uses less digits than its factorization.

12000058540800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7341 (or 7322 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 33.

The spelling of 12000058540800 in words is "twelve trillion, fifty-eight million, five hundred forty thousand, eight hundred".