3001213200 has 240 divisors, whose sum is σ = 9919365120. Its totient is φ = 775272960.

The previous prime is 3001213183. The next prime is 3001213211. The reversal of 3001213200 is 23121003.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7162591 + ... + 7163009.

It is an arithmetic number, because the mean of its divisors is an integer number (41330688).

Almost surely, 2^3001213200 is an apocalyptic number.

3001213200 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 3001213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4959682560).

3001213200 is an abundant number, since it is smaller than the sum of its proper divisors (6918151920).

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

3001213200 is a wasteful number, since it uses less digits than its factorization.

3001213200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 3001213200 is about 54783.3295811783. The cubic root of 3001213200 is about 1442.4439593482.

Adding to 3001213200 its reverse (23121003), we get a palindrome (3024334203).

The spelling of 3001213200 in words is "three billion, one million, two hundred thirteen thousand, two hundred".