20121212021120 has 256 divisors, whose sum is σ = 58704199372800. Its totient is φ = 6445948723200.

The previous prime is 20121212021117. The next prime is 20121212021167. The reversal of 20121212021120 is 2112021212102.

It is a super-3 number, since 3×20121212021120³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1529555 + ... + 6525485.

It is an arithmetic number, because the mean of its divisors is an integer number (229313278800).

Almost surely, 2^{20121212021120} is an apocalyptic number.

20121212021120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20121212021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29352099686400).

20121212021120 is an abundant number, since it is smaller than the sum of its proper divisors (38582987351680).

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

20121212021120 is a wasteful number, since it uses less digits than its factorization.

20121212021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4996017 (or 4996005 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 20121212021120 its reverse (2112021212102), we get a palindrome (22233233233222).

The spelling of 20121212021120 in words is "twenty trillion, one hundred twenty-one billion, two hundred twelve million, twenty-one thousand, one hundred twenty".