120033234000 has 240 divisors, whose sum is σ = 427149584784. Its totient is φ = 31404672000.

The previous prime is 120033233981. The next prime is 120033234001. The reversal of 120033234000 is 432330021.

120033234000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 36299394576 + 83733839424 = 190524^2 + 289368^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120033234001) 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, 891090 + ... + 1016910.

Almost surely, 2^120033234000 is an apocalyptic number.

120033234000 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 120033234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213574792392).

120033234000 is an abundant number, since it is smaller than the sum of its proper divisors (307116350784).

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

120033234000 is a wasteful number, since it uses less digits than its factorization.

120033234000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125903 (or 125884 counting only the distinct ones).

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

Adding to 120033234000 its reverse (432330021), we get a palindrome (120465564021).

The spelling of 120033234000 in words is "one hundred twenty billion, thirty-three million, two hundred thirty-four thousand".