3200120200032 has 384 divisors, whose sum is σ = 10240731906048. Its totient is φ = 855596390400.

The previous prime is 3200120199961. The next prime is 3200120200037. The reversal of 3200120200032 is 2300020210023.

It is a junction number, because it is equal to n+sod(n) for n = 3200120199984 and 3200120200020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3200120200037) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 125625057 + ... + 125650527.

It is an arithmetic number, because the mean of its divisors is an integer number (26668572672).

Almost surely, 2^{3200120200032} is an apocalyptic number.

3200120200032 is a gapful number since it is divisible by the number (32) 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 3200120200032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5120365953024).

3200120200032 is an abundant number, since it is smaller than the sum of its proper divisors (7040611706016).

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

3200120200032 is a wasteful number, since it uses less digits than its factorization.

3200120200032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25722 (or 25714 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 3200120200032 its reverse (2300020210023), we get a palindrome (5500140410055).

Subtracting from 3200120200032 its reverse (2300020210023), we obtain a palindrome (900099990009).

The spelling of 3200120200032 in words is "three trillion, two hundred billion, one hundred twenty million, two hundred thousand, thirty-two".