200312012132100 has 360 divisors, whose sum is σ = 709284016980000. Its totient is φ = 48497323622400.

The previous prime is 200312012132069. The next prime is 200312012132189. The reversal of 200312012132100 is 1231210213002.

200312012132100 is a `hidden beast` number, since 20 + 0 + 312 + 0 + 12 + 1 + 321 + 0 + 0 = 666.

200312012132100 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 an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 67056151 + ... + 69979649.

It is an arithmetic number, because the mean of its divisors is an integer number (1970233380500).

Almost surely, 2^{200312012132100} is an apocalyptic number.

200312012132100 is a gapful number since it is divisible by the number (20) 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 200312012132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354642008490000).

200312012132100 is an abundant number, since it is smaller than the sum of its proper divisors (508972004847900).

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

200312012132100 is a wasteful number, since it uses less digits than its factorization.

200312012132100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2924305 (or 2924289 counting only the distinct ones).

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

Adding to 200312012132100 its reverse (1231210213002), we get a palindrome (201543222345102).

The spelling of 200312012132100 in words is "two hundred trillion, three hundred twelve billion, twelve million, one hundred thirty-two thousand, one hundred".