201212120120 has 64 divisors (see below), whose sum is σ = 493995507840. Its totient is φ = 73151568000.

The previous prime is 201212120117. The next prime is 201212120201. The reversal of 201212120120 is 21021212102.

201212120120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 201212120095 and 201212120104.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1997279 + ... + 2095601.

It is an arithmetic number, because the mean of its divisors is an integer number (7718679810).

Almost surely, 2^201212120120 is an apocalyptic number.

201212120120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201212120120 is an abundant number, since it is smaller than the sum of its proper divisors (292783387720).

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

201212120120 is a wasteful number, since it uses less digits than its factorization.

201212120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102996 (or 102992 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 201212120120 its reverse (21021212102), we get a palindrome (222233332222).

The spelling of 201212120120 in words is "two hundred one billion, two hundred twelve million, one hundred twenty thousand, one hundred twenty".