20121212120016 has 160 divisors (see below), whose sum is σ = 59627483596800. Its totient is φ = 5727464317440.

The previous prime is 20121212119993. The next prime is 20121212120017. The reversal of 20121212120016 is 61002121212102.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 20121212119974 and 20121212120001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20121212120017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127903455 + ... + 128060673.

It is an arithmetic number, because the mean of its divisors is an integer number (372671772480).

Almost surely, 2^{20121212120016} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20121212120016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29813741798400).

20121212120016 is an abundant number, since it is smaller than the sum of its proper divisors (39506271476784).

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

20121212120016 is a wasteful number, since it uses less digits than its factorization.

20121212120016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158657 (or 158651 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 20121212120016 its reverse (61002121212102), we get a palindrome (81123333332118).

The spelling of 20121212120016 in words is "twenty trillion, one hundred twenty-one billion, two hundred twelve million, one hundred twenty thousand, sixteen".