120205032000 has 224 divisors, whose sum is σ = 398988954624. Its totient is φ = 31887360000.

The previous prime is 120205031983. The next prime is 120205032001. The reversal of 120205032000 is 230502021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (120205032001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4619025 + ... + 4644975.

Almost surely, 2^120205032000 is an apocalyptic number.

120205032000 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 120205032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199494477312).

120205032000 is an abundant number, since it is smaller than the sum of its proper divisors (278783922624).

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

120205032000 is a wasteful number, since it uses less digits than its factorization.

120205032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26174 (or 26154 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

Adding to 120205032000 its reverse (230502021), we get a palindrome (120435534021).

The spelling of 120205032000 in words is "one hundred twenty billion, two hundred five million, thirty-two thousand".