3200312113200 has 180 divisors, whose sum is σ = 11109652608600. Its totient is φ = 853133736960.

The previous prime is 3200312113169. The next prime is 3200312113211. The reversal of 3200312113200 is 23112130023.

3200312113200 is a `hidden beast` number, since 3 + 20 + 0 + 312 + 11 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×3200312113200² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10830619 + ... + 11122181.

It is an arithmetic number, because the mean of its divisors is an integer number (61720292270).

Almost surely, 2^{3200312113200} is an apocalyptic number.

3200312113200 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 3200312113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5554826304300).

3200312113200 is an abundant number, since it is smaller than the sum of its proper divisors (7909340495400).

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

3200312113200 is a wasteful number, since it uses less digits than its factorization.

3200312113200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294636 (or 294622 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 3200312113200 its reverse (23112130023), we get a palindrome (3223424243223).

The spelling of 3200312113200 in words is "three trillion, two hundred billion, three hundred twelve million, one hundred thirteen thousand, two hundred".