12010010220000 has 720 divisors, whose sum is σ = 46383754697280. Its totient is φ = 2929125888000.

The previous prime is 12010010219983. The next prime is 12010010220001. The reversal of 12010010220000 is 2201001021.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12010010220001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 255036457 + ... + 255083543.

It is an arithmetic number, because the mean of its divisors is an integer number (64421881524).

Almost surely, 2^{12010010220000} is an apocalyptic number.

12010010220000 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 12010010220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23191877348640).

12010010220000 is an abundant number, since it is smaller than the sum of its proper divisors (34373744477280).

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

12010010220000 is a wasteful number, since it uses less digits than its factorization.

12010010220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47245 (or 47219 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12010010220000 its reverse (2201001021), we get a palindrome (12012211221021).

The spelling of 12010010220000 in words is "twelve trillion, ten billion, ten million, two hundred twenty thousand".