202120112000 has 128 divisors (see below), whose sum is σ = 503905034880. Its totient is φ = 80625408000.

The previous prime is 202120111997. The next prime is 202120112021. The reversal of 202120112000 is 211021202.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5854790 + ... + 5889210.

It is an arithmetic number, because the mean of its divisors is an integer number (3936758085).

Almost surely, 2^202120112000 is an apocalyptic number.

202120112000 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 202120112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251952517440).

202120112000 is an abundant number, since it is smaller than the sum of its proper divisors (301784922880).

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

202120112000 is an equidigital number, since it uses as much as digits as its factorization.

202120112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34817 (or 34795 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 202120112000 its reverse (211021202), we get a palindrome (202331133202).

The spelling of 202120112000 in words is "two hundred two billion, one hundred twenty million, one hundred twelve thousand".