3000201120 has 240 divisors, whose sum is σ = 12101177088. Its totient is φ = 685739520.

The previous prime is 3000201103. The next prime is 3000201131. The reversal of 3000201120 is 211020003.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 74185 + ... + 107255.

Almost surely, 2^3000201120 is an apocalyptic number.

3000201120 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 3000201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6050588544).

3000201120 is an abundant number, since it is smaller than the sum of its proper divisors (9100975968).

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

3000201120 is a wasteful number, since it uses less digits than its factorization.

3000201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33105 (or 33088 counting only the distinct ones).

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

The square root of 3000201120 is about 54774.0916857596. The cubic root of 3000201120 is about 1442.2817990576.

Adding to 3000201120 its reverse (211020003), we get a palindrome (3211221123).

The spelling of 3000201120 in words is "three billion, two hundred one thousand, one hundred twenty".