20130221120 has 112 divisors (see below), whose sum is σ = 48887774208. Its totient is φ = 7893657600.

The previous prime is 20130221113. The next prime is 20130221131. The reversal of 20130221120 is 2112203102.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 20130221095 and 20130221104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3325937 + ... + 3331983.

It is an arithmetic number, because the mean of its divisors is an integer number (436497984).

Almost surely, 2^20130221120 is an apocalyptic number.

20130221120 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 20130221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24443887104).

20130221120 is an abundant number, since it is smaller than the sum of its proper divisors (28757553088).

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

20130221120 is a wasteful number, since it uses less digits than its factorization.

20130221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6268 (or 6258 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 20130221120 its reverse (2112203102), we get a palindrome (22242424222).

The spelling of 20130221120 in words is "twenty billion, one hundred thirty million, two hundred twenty-one thousand, one hundred twenty".