20201000120000 has 280 divisors, whose sum is σ = 58644226465440. Its totient is φ = 6757125120000.

The previous prime is 20201000119981. The next prime is 20201000120003. The reversal of 20201000120000 is 2100010202.

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 20201000120000.

It is not an unprimeable number, because it can be changed into a prime (20201000120003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10600166 + ... + 12359834.

It is an arithmetic number, because the mean of its divisors is an integer number (209443665948).

Almost surely, 2^{20201000120000} is an apocalyptic number.

20201000120000 is a gapful number since it is divisible by the number (20) 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 20201000120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29322113232720).

20201000120000 is an abundant number, since it is smaller than the sum of its proper divisors (38443226345440).

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

20201000120000 is an equidigital number, since it uses as much as digits as its factorization.

20201000120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1759749 (or 1759724 counting only the distinct ones).

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

Adding to 20201000120000 its reverse (2100010202), we get a palindrome (20203100130202).

The spelling of 20201000120000 in words is "twenty trillion, two hundred one billion, one hundred twenty thousand".