3200021010120 has 256 divisors, whose sum is σ = 10553381498880. Its totient is φ = 769804416000.

The previous prime is 3200021010047. The next prime is 3200021010157. The reversal of 3200021010120 is 210101200023.

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 = 3200021010096 and 3200021010105.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 198713989 + ... + 198730091.

It is an arithmetic number, because the mean of its divisors is an integer number (41224146480).

Almost surely, 2^{3200021010120} is an apocalyptic number.

3200021010120 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 3200021010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5276690749440).

3200021010120 is an abundant number, since it is smaller than the sum of its proper divisors (7353360488760).

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

3200021010120 is a wasteful number, since it uses less digits than its factorization.

3200021010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17276 (or 17272 counting only the distinct ones).

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

Adding to 3200021010120 its reverse (210101200023), we get a palindrome (3410122210143).

The spelling of 3200021010120 in words is "three trillion, two hundred billion, twenty-one million, ten thousand, one hundred twenty".