3000001012200 has 768 divisors, whose sum is σ = 10952156160000. Its totient is φ = 753600153600.

The previous prime is 3000001012181. The next prime is 3000001012201. The reversal of 3000001012200 is 22101000003.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (3000001012201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2944063291 + ... + 2944064309.

It is an arithmetic number, because the mean of its divisors is an integer number (14260620000).

Almost surely, 2^{3000001012200} is an apocalyptic number.

3000001012200 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 3000001012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5476078080000).

3000001012200 is an abundant number, since it is smaller than the sum of its proper divisors (7952155147800).

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

3000001012200 is a wasteful number, since it uses less digits than its factorization.

3000001012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1527 (or 1512 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 3000001012200 its reverse (22101000003), we get a palindrome (3022102012203).

The spelling of 3000001012200 in words is "three trillion, one million, twelve thousand, two hundred".