20121331200 has 240 divisors, whose sum is σ = 68617798656. Its totient is φ = 5192294400.

The previous prime is 20121331187. The next prime is 20121331207. The reversal of 20121331200 is 213312102.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20121331200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20121331207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1181949 + ... + 1198851.

Almost surely, 2^20121331200 is an apocalyptic number.

20121331200 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 20121331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34308899328).

20121331200 is an abundant number, since it is smaller than the sum of its proper divisors (48496467456).

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

20121331200 is a wasteful number, since it uses less digits than its factorization.

20121331200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16965 (or 16944 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 20121331200 its reverse (213312102), we get a palindrome (20334643302).

The spelling of 20121331200 in words is "twenty billion, one hundred twenty-one million, three hundred thirty-one thousand, two hundred".