212120012000121 has 16 divisors (see below), whose sum is σ = 299463861672000. Its totient is φ = 133094769348608.

The previous prime is 212120012000069. The next prime is 212120012000123. The reversal of 212120012000121 is 121000210021212.

212120012000121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 212120012000121 - 2⁴⁶ = 141751267822457 is a prime.

It is a super-3 number, since 3×212120012000121³ (a number of 44 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 212120012000121.

It is not an unprimeable number, because it can be changed into a prime (212120012000123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69521410 + ... + 72508388.

It is an arithmetic number, because the mean of its divisors is an integer number (18716491354500).

Almost surely, 2^{212120012000121} is an apocalyptic number.

It is an amenable number.

212120012000121 is a deficient number, since it is larger than the sum of its proper divisors (87343849671879).

212120012000121 is a wasteful number, since it uses less digits than its factorization.

212120012000121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4379448.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 212120012000121 its reverse (121000210021212), we get a palindrome (333120222021333).

The spelling of 212120012000121 in words is "two hundred twelve trillion, one hundred twenty billion, twelve million, one hundred twenty-one", and thus it is an aban number.