3012001122300 has 144 divisors (see below), whose sum is σ = 8775509831424. Its totient is φ = 797601600000.

The previous prime is 3012001122281. The next prime is 3012001122311. The reversal of 3012001122300 is 32211002103.

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 3012001122300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 150884320 + ... + 150904280.

It is an arithmetic number, because the mean of its divisors is an integer number (60941040496).

Almost surely, 2^{3012001122300} is an apocalyptic number.

3012001122300 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 3012001122300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4387754915712).

3012001122300 is an abundant number, since it is smaller than the sum of its proper divisors (5763508709124).

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

3012001122300 is a wasteful number, since it uses less digits than its factorization.

3012001122300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23460 (or 23453 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 3012001122300 its reverse (32211002103), we get a palindrome (3044212124403).

The spelling of 3012001122300 in words is "three trillion, twelve billion, one million, one hundred twenty-two thousand, three hundred".