20203120032000 has 288 divisors, whose sum is σ = 68370806125440. Its totient is φ = 5285846425600.

The previous prime is 20203120031923. The next prime is 20203120032001. The reversal of 20203120032000 is 23002130202.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (20203120032001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3102631 + ... + 7073369.

It is an arithmetic number, because the mean of its divisors is an integer number (237398632380).

Almost surely, 2^{20203120032000} is an apocalyptic number.

20203120032000 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 20203120032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34185403062720).

20203120032000 is an abundant number, since it is smaller than the sum of its proper divisors (48167686093440).

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

20203120032000 is an equidigital number, since it uses as much as digits as its factorization.

20203120032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3970826 (or 3970802 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 20203120032000 its reverse (23002130202), we get a palindrome (20226122162202).

The spelling of 20203120032000 in words is "twenty trillion, two hundred three billion, one hundred twenty million, thirty-two thousand".