12110221012000 has 192 divisors, whose sum is σ = 30818215864800. Its totient is φ = 4671371980800.

The previous prime is 12110221011991. The next prime is 12110221012061. The reversal of 12110221012000 is 21012201121.

It can be written as a sum of positive squares in 16 ways, for example, as 1026355400464 + 11083865611536 = 1013092^2 + 3329244^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96101034 + ... + 96226966.

Almost surely, 2^{12110221012000} is an apocalyptic number.

12110221012000 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 12110221012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15409107932400).

12110221012000 is an abundant number, since it is smaller than the sum of its proper divisors (18707994852800).

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

12110221012000 is a wasteful number, since it uses less digits than its factorization.

12110221012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126816 (or 126798 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12110221012000 its reverse (21012201121), we get a palindrome (12131233213121).

The spelling of 12110221012000 in words is "twelve trillion, one hundred ten billion, two hundred twenty-one million, twelve thousand".