3001121200 has 240 divisors, whose sum is σ = 9066919680. Its totient is φ = 927360000.

The previous prime is 3001121159. The next prime is 3001121203. The reversal of 3001121200 is 21211003.

3001121200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (3001121203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4280850 + ... + 4281550.

It is an arithmetic number, because the mean of its divisors is an integer number (37778832).

Almost surely, 2^3001121200 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 3001121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4533459840).

3001121200 is an abundant number, since it is smaller than the sum of its proper divisors (6065798480).

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

3001121200 is a wasteful number, since it uses less digits than its factorization.

3001121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 3001121200 is about 54782.4899032528. The cubic root of 3001121200 is about 1442.4292201754.

Adding to 3001121200 its reverse (21211003), we get a palindrome (3022332203).

The spelling of 3001121200 in words is "three billion, one million, one hundred twenty-one thousand, two hundred".