2000121314 has 32 divisors (see below), whose sum is σ = 3125893680. Its totient is φ = 959212800.

The previous prime is 2000121313. The next prime is 2000121323. The reversal of 2000121314 is 4131210002.

It can be written as a sum of positive squares in 8 ways, for example, as 15864289 + 1984257025 = 3983^2 + 44545^2 .

It is not an unprimeable number, because it can be changed into a prime (2000121313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1169492 + ... + 1171200.

Almost surely, 2^2000121314 is an apocalyptic number.

2000121314 is a deficient number, since it is larger than the sum of its proper divisors (1125772366).

2000121314 is a wasteful number, since it uses less digits than its factorization.

2000121314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2006.

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 2000121314 is about 44722.7158611818. The cubic root of 2000121314 is about 1259.9465237235.

Adding to 2000121314 its reverse (4131210002), we get a palindrome (6131331316).

The spelling of 2000121314 in words is "two billion, one hundred twenty-one thousand, three hundred fourteen".