3203011113120 has 864 divisors, whose sum is σ = 13618423728000. Its totient is φ = 671211380736.

The previous prime is 3203011113067. The next prime is 3203011113143. The reversal of 3203011113120 is 213111103023.

3203011113120 is a `hidden beast` number, since 320 + 30 + 1 + 1 + 1 + 1 + 312 + 0 = 666.

It is a super-2 number, since 2×3203011113120² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3203011113093 and 3203011113102.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 253818171 + ... + 253830789.

It is an arithmetic number, because the mean of its divisors is an integer number (15762064500).

Almost surely, 2^{3203011113120} is an apocalyptic number.

3203011113120 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 3203011113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6809211864000).

3203011113120 is an abundant number, since it is smaller than the sum of its proper divisors (10415412614880).

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

3203011113120 is a wasteful number, since it uses less digits than its factorization.

3203011113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12822 (or 12798 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 3203011113120 its reverse (213111103023), we get a palindrome (3416122216143).

The spelling of 3203011113120 in words is "three trillion, two hundred three billion, eleven million, one hundred thirteen thousand, one hundred twenty".