3012230320200 has 288 divisors, whose sum is σ = 10373662058760. Its totient is φ = 782848819200.

The previous prime is 3012230320199. The next prime is 3012230320207. The reversal of 3012230320200 is 20230322103.

It is a happy number.

3012230320200 is a `hidden beast` number, since 301 + 2 + 23 + 0 + 320 + 20 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 91638187524 + 2920592132676 = 302718^2 + 1708974^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3012230320207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 72081712 + ... + 72123488.

Almost surely, 2^{3012230320200} is an apocalyptic number.

3012230320200 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 3012230320200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5186831029380).

3012230320200 is an abundant number, since it is smaller than the sum of its proper divisors (7361431738560).

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

3012230320200 is a wasteful number, since it uses less digits than its factorization.

3012230320200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42817 (or 42805 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 3012230320200 its reverse (20230322103), we get a palindrome (3032460642303).

The spelling of 3012230320200 in words is "three trillion, twelve billion, two hundred thirty million, three hundred twenty thousand, two hundred".