10720221120 has 336 divisors, whose sum is σ = 42312092160. Its totient is φ = 2440378368.

The previous prime is 10720221067. The next prime is 10720221137. The reversal of 10720221120 is 2112202701.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×10720221120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10720221093 and 10720221102.

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, 5704341 + ... + 5706219.

Almost surely, 2^10720221120 is an apocalyptic number.

10720221120 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 10720221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21156046080).

10720221120 is an abundant number, since it is smaller than the sum of its proper divisors (31591871040).

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

10720221120 is a wasteful number, since it uses less digits than its factorization.

10720221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2192 (or 2179 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

Adding to 10720221120 its reverse (2112202701), we get a palindrome (12832423821).

The spelling of 10720221120 in words is "ten billion, seven hundred twenty million, two hundred twenty-one thousand, one hundred twenty".