120000204032 has 72 divisors (see below), whose sum is σ = 243360536832. Its totient is φ = 59048192000.

The previous prime is 120000204031. The next prime is 120000204109. The reversal of 120000204032 is 230402000021.

120000204032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 120000203998 and 120000204016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120000204031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4304057 + ... + 4331847.

It is an arithmetic number, because the mean of its divisors is an integer number (3380007456).

Almost surely, 2^120000204032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120000204032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121680268416).

120000204032 is an abundant number, since it is smaller than the sum of its proper divisors (123360332800).

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

120000204032 is a wasteful number, since it uses less digits than its factorization.

120000204032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28075 (or 28061 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 120000204032 its reverse (230402000021), we get a palindrome (350402204053).

The spelling of 120000204032 in words is "one hundred twenty billion, two hundred four thousand, thirty-two".