20130222300000 has 288 divisors, whose sum is σ = 66120075856800. Its totient is φ = 5362206720000.

The previous prime is 20130222299953. The next prime is 20130222300091. The reversal of 20130222300000 is 322203102.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 278663886 + ... + 278736114.

It is an arithmetic number, because the mean of its divisors is an integer number (229583596725).

Almost surely, 2^{20130222300000} is an apocalyptic number.

20130222300000 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 20130222300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33060037928400).

20130222300000 is an abundant number, since it is smaller than the sum of its proper divisors (45989853556800).

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

20130222300000 is an frugal number, since it uses more digits than its factorization.

20130222300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73196 (or 73168 counting only the distinct ones).

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

Adding to 20130222300000 its reverse (322203102), we get a palindrome (20130544503102).

The spelling of 20130222300000 in words is "twenty trillion, one hundred thirty billion, two hundred twenty-two million, three hundred thousand".