20314121242000 has 40 divisors (see below), whose sum is σ = 49119545167992. Its totient is φ = 8125648496000.

The previous prime is 20314121241961. The next prime is 20314121242033. The reversal of 20314121242000 is 24212141302.

It can be written as a sum of positive squares in 4 ways, for example, as 68836967424 + 20245284274576 = 262368^2 + 4499476^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5078528311 + ... + 5078532310.

Almost surely, 2^{20314121242000} is an apocalyptic number.

20314121242000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20314121242000 is an abundant number, since it is smaller than the sum of its proper divisors (28805423925992).

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

20314121242000 is a wasteful number, since it uses less digits than its factorization.

20314121242000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10157060644 (or 10157060628 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 20314121242000 its reverse (24212141302), we get a palindrome (20338333383302).

The spelling of 20314121242000 in words is "twenty trillion, three hundred fourteen billion, one hundred twenty-one million, two hundred forty-two thousand".