3000012221200 has 120 divisors (see below), whose sum is σ = 7231765173120. Its totient is φ = 1195975718400.

The previous prime is 3000012221191. The next prime is 3000012221243. The reversal of 3000012221200 is 21222100003.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 175667062 + ... + 175684138.

It is an arithmetic number, because the mean of its divisors is an integer number (60264709776).

Almost surely, 2^{3000012221200} 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 3000012221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3615882586560).

3000012221200 is an abundant number, since it is smaller than the sum of its proper divisors (4231752951920).

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

3000012221200 is a wasteful number, since it uses less digits than its factorization.

3000012221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18545 (or 18534 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 3000012221200 its reverse (21222100003), we get a palindrome (3021234321203).

The spelling of 3000012221200 in words is "three trillion, twelve million, two hundred twenty-one thousand, two hundred".