120311200032 has 96 divisors (see below), whose sum is σ = 318527681472. Its totient is φ = 39760641024.

The previous prime is 120311200027. The next prime is 120311200067. The reversal of 120311200032 is 230002113021.

120311200032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 120311199984 and 120311200020.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7030078 + ... + 7047170.

It is an arithmetic number, because the mean of its divisors is an integer number (3317996682).

Almost surely, 2^120311200032 is an apocalyptic number.

120311200032 is a gapful number since it is divisible by the number (12) 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 120311200032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159263840736).

120311200032 is an abundant number, since it is smaller than the sum of its proper divisors (198216481440).

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

120311200032 is a wasteful number, since it uses less digits than its factorization.

120311200032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17730 (or 17722 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 120311200032 its reverse (230002113021), we get a palindrome (350313313053).

The spelling of 120311200032 in words is "one hundred twenty billion, three hundred eleven million, two hundred thousand, thirty-two".