200020120010000 has 100 divisors (see below), whose sum is σ = 484558907999100. Its totient is φ = 79960103616000.

The previous prime is 200020120009993. The next prime is 200020120010047. The reversal of 200020120010000 is 10021020002.

200020120010000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 103285105533184 + 96735014476816 = 10162928^2 + 9835396^2 .

It is a tau number, because it is divible by the number of its divisors (100).

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 200020120010000.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10697786 + ... + 22682214.

It is an arithmetic number, because the mean of its divisors is an integer number (4845589079991).

Almost surely, 2^{200020120010000} is an apocalyptic number.

200020120010000 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 200020120010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242279453999550).

200020120010000 is an abundant number, since it is smaller than the sum of its proper divisors (284538787989100).

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

200020120010000 is a wasteful number, since it uses less digits than its factorization.

200020120010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11986126 (or 11986105 counting only the distinct ones).

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

Adding to 200020120010000 its reverse (10021020002), we get a palindrome (200030141030002).

The spelling of 200020120010000 in words is "two hundred trillion, twenty billion, one hundred twenty million, ten thousand".