10220313120 has 192 divisors, whose sum is σ = 34678554624. Its totient is φ = 2522741760.

The previous prime is 10220313013. The next prime is 10220313127. The reversal of 10220313120 is 2131302201.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10220313120.

It is not an unprimeable number, because it can be changed into a prime (10220313127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 327309 + ... + 357171.

It is an arithmetic number, because the mean of its divisors is an integer number (180617472).

Almost surely, 2^10220313120 is an apocalyptic number.

10220313120 is a gapful number since it is divisible by the number (10) 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 10220313120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17339277312).

10220313120 is an abundant number, since it is smaller than the sum of its proper divisors (24458241504).

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

10220313120 is a wasteful number, since it uses less digits than its factorization.

10220313120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29935 (or 29927 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10220313120 its reverse (2131302201), we get a palindrome (12351615321).

The spelling of 10220313120 in words is "ten billion, two hundred twenty million, three hundred thirteen thousand, one hundred twenty".