20121412311 has 64 divisors (see below), whose sum is σ = 40023997440. Its totient is φ = 9648616320.

The previous prime is 20121412301. The next prime is 20121412349. The reversal of 20121412311 is 11321412102.

20121412311 is a `hidden beast` number, since 201 + 21 + 412 + 31 + 1 = 666.

It is not a de Polignac number, because 20121412311 - 2¹⁴ = 20121395927 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20121412301) 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 63 ways as a sum of consecutive naturals, for example, 345220 + ... + 399273.

It is an arithmetic number, because the mean of its divisors is an integer number (625374960).

Almost surely, 2^20121412311 is an apocalyptic number.

20121412311 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

20121412311 is a deficient number, since it is larger than the sum of its proper divisors (19902585129).

20121412311 is a wasteful number, since it uses less digits than its factorization.

20121412311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744533 (or 744527 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 20121412311 its reverse (11321412102), we get a palindrome (31442824413).

The spelling of 20121412311 in words is "twenty billion, one hundred twenty-one million, four hundred twelve thousand, three hundred eleven".