201314123200 has 84 divisors (see below), whose sum is σ = 495511764880. Its totient is φ = 80500746240.

The previous prime is 201314123189. The next prime is 201314123207. The reversal of 201314123200 is 2321413102.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201314123207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5676724 + ... + 5712076.

Almost surely, 2^201314123200 is an apocalyptic number.

201314123200 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 201314123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247755882440).

201314123200 is an abundant number, since it is smaller than the sum of its proper divisors (294197641680).

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

201314123200 is a wasteful number, since it uses less digits than its factorization.

201314123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38934 (or 38919 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 201314123200 its reverse (2321413102), we get a palindrome (203635536302).

The spelling of 201314123200 in words is "two hundred one billion, three hundred fourteen million, one hundred twenty-three thousand, two hundred".