3200300112000 has 1024 divisors, whose sum is σ = 11582917632000. Its totient is φ = 778943692800.

The previous prime is 3200300111969. The next prime is 3200300112001. The reversal of 3200300112000 is 2110030023.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (3200300112001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3098063484 + ... + 3098064516.

It is an arithmetic number, because the mean of its divisors is an integer number (11311443000).

Almost surely, 2^{3200300112000} is an apocalyptic number.

3200300112000 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 3200300112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5791458816000).

3200300112000 is an abundant number, since it is smaller than the sum of its proper divisors (8382617520000).

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

3200300112000 is a wasteful number, since it uses less digits than its factorization.

3200300112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206 (or 1184 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 3200300112000 its reverse (2110030023), we get a palindrome (3202410142023).

The spelling of 3200300112000 in words is "three trillion, two hundred billion, three hundred million, one hundred twelve thousand".