3202101120 has 256 divisors, whose sum is σ = 10663488000. Its totient is φ = 816291840.

The previous prime is 3202101061. The next prime is 3202101163. The reversal of 3202101120 is 211012023.

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 = 3202101096 and 3202101105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7293861 + ... + 7294299.

It is an arithmetic number, because the mean of its divisors is an integer number (41654250).

Almost surely, 2^3202101120 is an apocalyptic number.

3202101120 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 3202101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5331744000).

3202101120 is an abundant number, since it is smaller than the sum of its proper divisors (7461386880).

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

3202101120 is a wasteful number, since it uses less digits than its factorization.

3202101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 3202101120 is about 56587.1108999214. The cubic root of 3202101120 is about 1473.9350535696.

Adding to 3202101120 its reverse (211012023), we get a palindrome (3413113143).

The spelling of 3202101120 in words is "three billion, two hundred two million, one hundred one thousand, one hundred twenty".