2014132122241 has 8 divisors (see below), whose sum is σ = 2049474403368. Its totient is φ = 1978864800000.

The previous prime is 2014132122209. The next prime is 2014132122283. The reversal of 2014132122241 is 1422212314102.

It can be written as a sum of positive squares in 4 ways, for example, as 89877641616 + 1924254480625 = 299796^2 + 1387175^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2014132122241 - 2⁵ = 2014132122209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2014132122641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18685510 + ... + 18792991.

It is an arithmetic number, because the mean of its divisors is an integer number (256184300421).

Almost surely, 2^{2014132122241} is an apocalyptic number.

It is an amenable number.

2014132122241 is a deficient number, since it is larger than the sum of its proper divisors (35342281127).

2014132122241 is an equidigital number, since it uses as much as digits as its factorization.

2014132122241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37479443.

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 2014132122241 its reverse (1422212314102), we get a palindrome (3436344436343).

The spelling of 2014132122241 in words is "two trillion, fourteen billion, one hundred thirty-two million, one hundred twenty-two thousand, two hundred forty-one".