3001011213200 has 1080 divisors, whose sum is σ = 10341115822656. Its totient is φ = 825656832000.

The previous prime is 3001011213197. The next prime is 3001011213203. The reversal of 3001011213200 is 23121101003.

It is an interprime number because it is at equal distance from previous prime (3001011213197) and next prime (3001011213203).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (3001011213203) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 838035410 + ... + 838038990.

Almost surely, 2^{3001011213200} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3001011213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5170557911328).

3001011213200 is an abundant number, since it is smaller than the sum of its proper divisors (7340104609456).

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

3001011213200 is a wasteful number, since it uses less digits than its factorization.

3001011213200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3673 (or 3642 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 3001011213200 its reverse (23121101003), we get a palindrome (3024132314203).

The spelling of 3001011213200 in words is "three trillion, one billion, eleven million, two hundred thirteen thousand, two hundred".