20121314142312 has 48 divisors (see below), whose sum is σ = 56253136318080. Its totient is φ = 6490746496800.

The previous prime is 20121314142289. The next prime is 20121314142313. The reversal of 20121314142312 is 21324141312102.

20121314142312 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 13 + 1 + 414 + 231 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (20121314142313) 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 11 ways as a sum of consecutive naturals, for example, 4507460614 + ... + 4507465077.

It is an arithmetic number, because the mean of its divisors is an integer number (1171940339960).

Almost surely, 2^{20121314142312} is an apocalyptic number.

It is an amenable number.

20121314142312 is an abundant number, since it is smaller than the sum of its proper divisors (36131822175768).

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

20121314142312 is a wasteful number, since it uses less digits than its factorization.

20121314142312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9014925734 (or 9014925727 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 20121314142312 its reverse (21324141312102), we get a palindrome (41445455454414).

The spelling of 20121314142312 in words is "twenty trillion, one hundred twenty-one billion, three hundred fourteen million, one hundred forty-two thousand, three hundred twelve".