1233222120 has 192 divisors, whose sum is σ = 4360683600. Its totient is φ = 300441600.

The previous prime is 1233222103. The next prime is 1233222121. The reversal of 1233222120 is 212223321.

It can be written as a sum of positive squares in 8 ways, for example, as 637764516 + 595457604 = 25254^2 + 24402^2 .

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 = 1233222093 and 1233222102.

It is not an unprimeable number, because it can be changed into a prime (1233222121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 471376 + ... + 473984.

Almost surely, 2^1233222120 is an apocalyptic number.

1233222120 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 1233222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2180341800).

1233222120 is an abundant number, since it is smaller than the sum of its proper divisors (3127461480).

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

1233222120 is a wasteful number, since it uses less digits than its factorization.

1233222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2740 (or 2733 counting only the distinct ones).

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

The square root of 1233222120 is about 35117.2624217777. The cubic root of 1233222120 is about 1072.3760399220.

Adding to 1233222120 its reverse (212223321), we get a palindrome (1445445441).

The spelling of 1233222120 in words is "one billion, two hundred thirty-three million, two hundred twenty-two thousand, one hundred twenty".