20120010200000 has 168 divisors, whose sum is σ = 49924647993024. Its totient is φ = 8044652160000.

The previous prime is 20120010199973. The next prime is 20120010200021. The reversal of 20120010200000 is 201002102.

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 511380329 + ... + 511419671.

It is an arithmetic number, because the mean of its divisors is an integer number (297170523768).

Almost surely, 2^{20120010200000} is an apocalyptic number.

20120010200000 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 20120010200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24962323996512).

20120010200000 is an abundant number, since it is smaller than the sum of its proper divisors (29804637793024).

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

20120010200000 is an frugal number, since it uses more digits than its factorization.

20120010200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41937 (or 41907 counting only the distinct ones).

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

Adding to 20120010200000 its reverse (201002102), we get a palindrome (20120211202102).

The spelling of 20120010200000 in words is "twenty trillion, one hundred twenty billion, ten million, two hundred thousand".