212120012000120 has 128 divisors (see below), whose sum is σ = 562975453094400. Its totient is φ = 70427124573696.

The previous prime is 212120012000069. The next prime is 212120012000123. The reversal of 212120012000120 is 21000210021212.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 212120012000095 and 212120012000104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212120012000123) 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, 94715507 + ... + 96929186.

It is an arithmetic number, because the mean of its divisors is an integer number (4398245727300).

Almost surely, 2^{212120012000120} is an apocalyptic number.

212120012000120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212120012000120 is an abundant number, since it is smaller than the sum of its proper divisors (350855441094280).

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

212120012000120 is a wasteful number, since it uses less digits than its factorization.

212120012000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191644837 (or 191644833 counting only the distinct ones).

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

Adding to 212120012000120 its reverse (21000210021212), we get a palindrome (233120222021332).

The spelling of 212120012000120 in words is "two hundred twelve trillion, one hundred twenty billion, twelve million, one hundred twenty", and thus it is an aban number.