120220333233000 has 3072 divisors, whose sum is σ = 517713125529600. Its totient is φ = 22597926912000.

The previous prime is 120220333232969. The next prime is 120220333233001. The reversal of 120220333233000 is 332333022021.

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

It is not an unprimeable number, because it can be changed into a prime (120220333233001) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 622903280904 + ... + 622903281096.

It is an arithmetic number, because the mean of its divisors is an integer number (168526408050).

Almost surely, 2^{120220333233000} is an apocalyptic number.

120220333233000 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 120220333233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258856562764800).

120220333233000 is an abundant number, since it is smaller than the sum of its proper divisors (397492792296600).

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

120220333233000 is a wasteful number, since it uses less digits than its factorization.

120220333233000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 120220333233000 its reverse (332333022021), we get a palindrome (120552666255021).

The spelling of 120220333233000 in words is "one hundred twenty trillion, two hundred twenty billion, three hundred thirty-three million, two hundred thirty-three thousand".