120033002232 has 384 divisors, whose sum is σ = 400491786240. Its totient is φ = 31957770240.

The previous prime is 120033002171. The next prime is 120033002279. The reversal of 120033002232 is 232200330021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 52807048 + ... + 52809320.

It is an arithmetic number, because the mean of its divisors is an integer number (1042947360).

Almost surely, 2^120033002232 is an apocalyptic number.

120033002232 is a gapful number since it is divisible by the number (12) 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 120033002232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200245893120).

120033002232 is an abundant number, since it is smaller than the sum of its proper divisors (280458784008).

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

120033002232 is a wasteful number, since it uses less digits than its factorization.

120033002232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2555 (or 2548 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 120033002232 its reverse (232200330021), we get a palindrome (352233332253).

The spelling of 120033002232 in words is "one hundred twenty billion, thirty-three million, two thousand, two hundred thirty-two".