12000222010000 has 250 divisors, whose sum is σ = 33894078127822. Its totient is φ = 4114353600000.

The previous prime is 12000222009917. The next prime is 12000222010003. The reversal of 12000222010000 is 1022200021.

It can be written as a sum of positive squares in 5 ways, for example, as 2033749801216 + 9966472208784 = 1426096^2 + 3156972^2 .

It is a tau number, because it is divible by the number of its divisors (250).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (12000222010003) by changing a digit.

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 49 ways as a sum of consecutive naturals, for example, 23760100 + ... + 24259900.

Almost surely, 2^{12000222010000} is an apocalyptic number.

12000222010000 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 12000222010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16947039063911).

12000222010000 is an abundant number, since it is smaller than the sum of its proper divisors (21893856117822).

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

12000222010000 is an frugal number, since it uses more digits than its factorization.

12000222010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499857 (or 499815 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 12000222010000 its reverse (1022200021), we get a palindrome (12001244210021).

The spelling of 12000222010000 in words is "twelve trillion, two hundred twenty-two million, ten thousand".