202001120000 has 180 divisors, whose sum is σ = 507873628416. Its totient is φ = 80156160000.

The previous prime is 202001119927. The next prime is 202001120029. The reversal of 202001120000 is 21100202.

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 202001120000.

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, 20315030 + ... + 20324970.

Almost surely, 2^202001120000 is an apocalyptic number.

202001120000 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 202001120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253936814208).

202001120000 is an abundant number, since it is smaller than the sum of its proper divisors (305872508416).

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

202001120000 is an frugal number, since it uses more digits than its factorization.

202001120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10104 (or 10075 counting only the distinct ones).

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

Adding to 202001120000 its reverse (21100202), we get a palindrome (202022220202).

The spelling of 202001120000 in words is "two hundred two billion, one million, one hundred twenty thousand".