10222332120 has 768 divisors, whose sum is σ = 46985702400. Its totient is φ = 1856286720.

The previous prime is 10222332091. The next prime is 10222332121. The reversal of 10222332120 is 2123322201.

Added to its reverse (2123322201) it gives a square (12345654321 = 111111²).

10222332120 is a `hidden beast` number, since 102 + 223 + 321 + 20 = 666.

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 = 10222332093 and 10222332102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10222332121) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6846094 + ... + 6847586.

It is an arithmetic number, because the mean of its divisors is an integer number (61179300).

Almost surely, 2^10222332120 is an apocalyptic number.

10222332120 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 10222332120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23492851200).

10222332120 is an abundant number, since it is smaller than the sum of its proper divisors (36763370280).

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

10222332120 is a wasteful number, since it uses less digits than its factorization.

10222332120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1560 (or 1553 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10222332120 its reverse (2123322201), we get a palindrome (12345654321).

The spelling of 10222332120 in words is "ten billion, two hundred twenty-two million, three hundred thirty-two thousand, one hundred twenty".