10220233120 has 96 divisors (see below), whose sum is σ = 24985920960. Its totient is φ = 3947919360.

The previous prime is 10220233117. The next prime is 10220233151. The reversal of 10220233120 is 2133202201.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10220233094 and 10220233103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 603975 + ... + 620665.

It is an arithmetic number, because the mean of its divisors is an integer number (260270010).

Almost surely, 2^10220233120 is an apocalyptic number.

10220233120 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 10220233120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12492960480).

10220233120 is an abundant number, since it is smaller than the sum of its proper divisors (14765687840).

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

10220233120 is a wasteful number, since it uses less digits than its factorization.

10220233120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16838 (or 16830 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10220233120 its reverse (2133202201), we get a palindrome (12353435321).

The spelling of 10220233120 in words is "ten billion, two hundred twenty million, two hundred thirty-three thousand, one hundred twenty".