10222033120 has 96 divisors (see below), whose sum is σ = 26260258752. Its totient is φ = 3737567232.

The previous prime is 10222033111. The next prime is 10222033147. The reversal of 10222033120 is 2133022201.

It is a super-2 number, since 2×10222033120² (a number of 21 digits) contains 22 as substring.

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 = 10222033094 and 10222033103.

It is a congruent number.

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, 190384 + ... + 238096.

It is an arithmetic number, because the mean of its divisors is an integer number (273544362).

Almost surely, 2^10222033120 is an apocalyptic number.

10222033120 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 10222033120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13130129376).

10222033120 is an abundant number, since it is smaller than the sum of its proper divisors (16038225632).

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

10222033120 is a wasteful number, since it uses less digits than its factorization.

10222033120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47844 (or 47836 counting only the distinct ones).

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

Adding to 10222033120 its reverse (2133022201), we get a palindrome (12355055321).

The spelling of 10222033120 in words is "ten billion, two hundred twenty-two million, thirty-three thousand, one hundred twenty".