10222120 has 64 divisors (see below), whose sum is σ = 24675840. Its totient is φ = 3801600.

The previous prime is 10222111. The next prime is 10222141. The reversal of 10222120 is 2122201.

10222120 is an esthetic number in base 9, because in such base its adjacent digits differ by 1.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10222097 and 10222106.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 37585 + ... + 37855.

It is an arithmetic number, because the mean of its divisors is an integer number (385560).

Almost surely, 2^10222120 is an apocalyptic number.

10222120 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 10222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12337920).

10222120 is an abundant number, since it is smaller than the sum of its proper divisors (14453720).

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

10222120 is a wasteful number, since it uses less digits than its factorization.

10222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 10222120 is about 3197.2050293968. The cubic root of 10222120 is about 217.0269456229.

Adding to 10222120 its reverse (2122201), we get a palindrome (12344321).

It can be divided in two parts, 102 and 22120, that added together give a palindrome (22222).

The spelling of 10222120 in words is "ten million, two hundred twenty-two thousand, one hundred twenty".