20121212112120 has 144 divisors (see below), whose sum is σ = 76070500959960. Its totient is φ = 4599134193024.

The previous prime is 20121212112103. The next prime is 20121212112161. The reversal of 20121212112120 is 2121121212102.

20121212112120 is a `hidden beast` number, since 201 + 21 + 21 + 211 + 212 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20121212112093 and 20121212112102.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 570311502 + ... + 570346781.

Almost surely, 2^{20121212112120} is an apocalyptic number.

20121212112120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20121212112120 is an abundant number, since it is smaller than the sum of its proper divisors (55949288847840).

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

20121212112120 is a wasteful number, since it uses less digits than its factorization.

20121212112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140658314 (or 1140658300 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 20121212112120 its reverse (2121121212102), we get a palindrome (22242333324222).

The spelling of 20121212112120 in words is "twenty trillion, one hundred twenty-one billion, two hundred twelve million, one hundred twelve thousand, one hundred twenty".