3121201114200 has 576 divisors, whose sum is σ = 11526687244800. Its totient is φ = 752181120000.

The previous prime is 3121201114193. The next prime is 3121201114223. The reversal of 3121201114200 is 24111021213.

3121201114200 is a `hidden beast` number, since 3 + 12 + 120 + 111 + 420 + 0 = 666.

3121201114200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 346526097 + ... + 346535103.

It is an arithmetic number, because the mean of its divisors is an integer number (20011609800).

Almost surely, 2^{3121201114200} is an apocalyptic number.

3121201114200 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 3121201114200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5763343622400).

3121201114200 is an abundant number, since it is smaller than the sum of its proper divisors (8405486130600).

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

3121201114200 is a wasteful number, since it uses less digits than its factorization.

3121201114200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9352 (or 9340 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 3121201114200 its reverse (24111021213), we get a palindrome (3145312135413).

The spelling of 3121201114200 in words is "three trillion, one hundred twenty-one billion, two hundred one million, one hundred fourteen thousand, two hundred".