202012200000 has 1008 divisors, whose sum is σ = 796298564880. Its totient is φ = 48660480000.

The previous prime is 202012199971. The next prime is 202012200001. The reversal of 202012200000 is 2210202.

It can be written as a sum of positive squares in 24 ways, for example, as 109868383296 + 92143816704 = 331464^2 + 303552^2 .

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 (202012200001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2082599952 + ... + 2082600048.

It is an arithmetic number, because the mean of its divisors is an integer number (789978735).

Almost surely, 2^202012200000 is an apocalyptic number.

202012200000 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 202012200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398149282440).

202012200000 is an abundant number, since it is smaller than the sum of its proper divisors (594286364880).

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

202012200000 is an equidigital number, since it uses as much as digits as its factorization.

202012200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 202012200000 its reverse (2210202), we get a palindrome (202014410202).

The spelling of 202012200000 in words is "two hundred two billion, twelve million, two hundred thousand".