1022233332120 has 1024 divisors, whose sum is σ = 4233329049600. Its totient is φ = 190634065920.

The previous prime is 1022233332073. The next prime is 1022233332121. The reversal of 1022233332120 is 212333322201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022233332121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 687446017 + ... + 687447503.

It is an arithmetic number, because the mean of its divisors is an integer number (4134110400).

Almost surely, 2^{1022233332120} is an apocalyptic number.

1022233332120 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 1022233332120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2116664524800).

1022233332120 is an abundant number, since it is smaller than the sum of its proper divisors (3211095717480).

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

1022233332120 is a wasteful number, since it uses less digits than its factorization.

1022233332120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1688 (or 1684 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 1022233332120 its reverse (212333322201), we get a palindrome (1234566654321).

It can be divided in two parts, 102223 and 3332120, that added together give a palindrome (3434343).

The spelling of 1022233332120 in words is "one trillion, twenty-two billion, two hundred thirty-three million, three hundred thirty-two thousand, one hundred twenty".