3002212120200 has 96 divisors (see below), whose sum is σ = 9319088763360. Its totient is φ = 799537753600.

The previous prime is 3002212120111. The next prime is 3002212120217. The reversal of 3002212120200 is 20212122003.

It is a happy number.

It is a super-2 number, since 2×3002212120200² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3002212120200.

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 23 ways as a sum of consecutive naturals, for example, 2830974 + ... + 3744173.

It is an arithmetic number, because the mean of its divisors is an integer number (97073841285).

Almost surely, 2^{3002212120200} is an apocalyptic number.

3002212120200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3002212120200 is an abundant number, since it is smaller than the sum of its proper divisors (6316876643160).

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

3002212120200 is a wasteful number, since it uses less digits than its factorization.

3002212120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6575927 (or 6575918 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 3002212120200 its reverse (20212122003), we get a palindrome (3022424242203).

The spelling of 3002212120200 in words is "three trillion, two billion, two hundred twelve million, one hundred twenty thousand, two hundred".