3000120331200 has 672 divisors, whose sum is σ = 10652416868352. Its totient is φ = 737054208000.

The previous prime is 3000120331183. The next prime is 3000120331237. The reversal of 3000120331200 is 21330210003.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3000120331200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 763193235 + ... + 763197165.

It is an arithmetic number, because the mean of its divisors is an integer number (15851810816).

Almost surely, 2^{3000120331200} is an apocalyptic number.

3000120331200 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 3000120331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5326208434176).

3000120331200 is an abundant number, since it is smaller than the sum of its proper divisors (7652296537152).

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

3000120331200 is a wasteful number, since it uses less digits than its factorization.

3000120331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4233 (or 4218 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 3000120331200 its reverse (21330210003), we get a palindrome (3021450541203).

The spelling of 3000120331200 in words is "three trillion, one hundred twenty million, three hundred thirty-one thousand, two hundred".