120133233120 has 192 divisors, whose sum is σ = 393639704640. Its totient is φ = 30759321600.

The previous prime is 120133233109. The next prime is 120133233191. The reversal of 120133233120 is 21332331021.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2495680 + ... + 2543360.

It is an arithmetic number, because the mean of its divisors is an integer number (2050206795).

Almost surely, 2^120133233120 is an apocalyptic number.

120133233120 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 120133233120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196819852320).

120133233120 is an abundant number, since it is smaller than the sum of its proper divisors (273506471520).

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

120133233120 is a wasteful number, since it uses less digits than its factorization.

120133233120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47909 (or 47901 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 120133233120 its reverse (21332331021), we get a palindrome (141465564141).

The spelling of 120133233120 in words is "one hundred twenty billion, one hundred thirty-three million, two hundred thirty-three thousand, one hundred twenty".