20121214133112 has 128 divisors (see below), whose sum is σ = 51893698671360. Its totient is φ = 6499335219200.

The previous prime is 20121214133107. The next prime is 20121214133113. The reversal of 20121214133112 is 21133141212102.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20121214133113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21060208 + ... + 21994880.

It is an arithmetic number, because the mean of its divisors is an integer number (405419520870).

Almost surely, 2^{20121214133112} is an apocalyptic number.

It is an amenable number.

20121214133112 is an abundant number, since it is smaller than the sum of its proper divisors (31772484538248).

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

20121214133112 is a wasteful number, since it uses less digits than its factorization.

20121214133112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934973 (or 934969 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 20121214133112 its reverse (21133141212102), we get a palindrome (41254355345214).

The spelling of 20121214133112 in words is "twenty trillion, one hundred twenty-one billion, two hundred fourteen million, one hundred thirty-three thousand, one hundred twelve".