3200022120 has 128 divisors (see below), whose sum is σ = 10151930880. Its totient is φ = 805632000.

The previous prime is 3200022113. The next prime is 3200022127. The reversal of 3200022120 is 212200023.

It is an interprime number because it is at equal distance from previous prime (3200022113) and next prime (3200022127).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 3200022096 and 3200022105.

It is not an unprimeable number, because it can be changed into a prime (3200022127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142030 + ... + 163010.

It is an arithmetic number, because the mean of its divisors is an integer number (79311960).

Almost surely, 2^3200022120 is an apocalyptic number.

3200022120 is a gapful number since it is divisible by the number (30) 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 3200022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5075965440).

3200022120 is an abundant number, since it is smaller than the sum of its proper divisors (6951908760).

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

3200022120 is a wasteful number, since it uses less digits than its factorization.

3200022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21067 (or 21063 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 3200022120 is about 56568.7380096109. The cubic root of 3200022120 is about 1473.6159948974.

Adding to 3200022120 its reverse (212200023), we get a palindrome (3412222143).

The spelling of 3200022120 in words is "three billion, two hundred million, twenty-two thousand, one hundred twenty".