12001010000000 has 512 divisors, whose sum is σ = 34386661969920. Its totient is φ = 4086720000000.

The previous prime is 12001009999981. The next prime is 12001010000081. The reversal of 12001010000000 is 1010021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (5).

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, 12109999505 + ... + 12110000495.

It is an arithmetic number, because the mean of its divisors is an integer number (67161449160).

Almost surely, 2^{12001010000000} is an apocalyptic number.

12001010000000 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 12001010000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17193330984960).

12001010000000 is an abundant number, since it is smaller than the sum of its proper divisors (22385651969920).

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

12001010000000 is an frugal number, since it uses more digits than its factorization.

12001010000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 12001010000000 its reverse (1010021), we get a palindrome (12001011010021).

The spelling of 12001010000000 in words is "twelve trillion, one billion, ten million", and thus it is an aban number and an uban number.