3002221232010 has 384 divisors, whose sum is σ = 11032091965440. Its totient is φ = 545542387200.

The previous prime is 3002221231981. The next prime is 3002221232053. The reversal of 3002221232010 is 102321222003.

3002221232010 is a `hidden beast` number, since 300 + 2 + 22 + 12 + 320 + 10 = 666.

3002221232010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 834745 + ... + 2588675.

It is an arithmetic number, because the mean of its divisors is an integer number (28729406160).

Almost surely, 2^{3002221232010} is an apocalyptic number.

3002221232010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3002221232010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5516045982720).

3002221232010 is an abundant number, since it is smaller than the sum of its proper divisors (8029870733430).

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

3002221232010 is a wasteful number, since it uses less digits than its factorization.

3002221232010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1753994 (or 1753991 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 3002221232010 its reverse (102321222003), we get a palindrome (3104542454013).

The spelling of 3002221232010 in words is "three trillion, two billion, two hundred twenty-one million, two hundred thirty-two thousand, ten".