20141312311200 has 288 divisors, whose sum is σ = 65726654224896. Its totient is φ = 5357373557760.

The previous prime is 20141312311187. The next prime is 20141312311231. The reversal of 20141312311200 is 211321314102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2978159019 + ... + 2978165781.

It is an arithmetic number, because the mean of its divisors is an integer number (228217549392).

Almost surely, 2^{20141312311200} is an apocalyptic number.

20141312311200 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 20141312311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32863327112448).

20141312311200 is an abundant number, since it is smaller than the sum of its proper divisors (45585341913696).

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

20141312311200 is a wasteful number, since it uses less digits than its factorization.

20141312311200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9756 (or 9743 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 20141312311200 its reverse (211321314102), we get a palindrome (20352633625302).

The spelling of 20141312311200 in words is "twenty trillion, one hundred forty-one billion, three hundred twelve million, three hundred eleven thousand, two hundred".