202003120000 has 160 divisors (see below), whose sum is σ = 548592363000. Its totient is φ = 73455360000.

The previous prime is 202003119979. The next prime is 202003120009. The reversal of 202003120000 is 21300202.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202003120009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 765226 + ... + 994774.

Almost surely, 2^202003120000 is an apocalyptic number.

202003120000 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 202003120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274296181500).

202003120000 is an abundant number, since it is smaller than the sum of its proper divisors (346589243000).

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

202003120000 is an equidigital number, since it uses as much as digits as its factorization.

202003120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229594 (or 229567 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 202003120000 its reverse (21300202), we get a palindrome (202024420202).

It can be divided in two parts, 202003 and 120000, that added together give a triangular number (322003 = T₈₀₂).

The spelling of 202003120000 in words is "two hundred two billion, three million, one hundred twenty thousand".