3130211122200 has 576 divisors, whose sum is σ = 11557537056000. Its totient is φ = 756358456320.

The previous prime is 3130211122189. The next prime is 3130211122201. The reversal of 3130211122200 is 22211120313.

3130211122200 is a `hidden beast` number, since 3 + 130 + 211 + 122 + 200 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3130211122201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 74637637 + ... + 74679563.

It is an arithmetic number, because the mean of its divisors is an integer number (20065168500).

Almost surely, 2^{3130211122200} is an apocalyptic number.

3130211122200 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 3130211122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5778768528000).

3130211122200 is an abundant number, since it is smaller than the sum of its proper divisors (8427325933800).

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

3130211122200 is a wasteful number, since it uses less digits than its factorization.

3130211122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42064 (or 42052 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 3130211122200 its reverse (22211120313), we get a palindrome (3152422242513).

The spelling of 3130211122200 in words is "three trillion, one hundred thirty billion, two hundred eleven million, one hundred twenty-two thousand, two hundred".