212000222000120 has 64 divisors (see below), whose sum is σ = 486965252376000. Its totient is φ = 83044608962560.

The previous prime is 212000222000051. The next prime is 212000222000131. The reversal of 212000222000120 is 21000222000212.

It is a junction number, because it is equal to n+sod(n) for n = 212000222000095 and 212000222000104.

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 15 ways as a sum of consecutive naturals, for example, 250073369 + ... + 250919688.

It is an arithmetic number, because the mean of its divisors is an integer number (7608832068375).

Almost surely, 2^{212000222000120} is an apocalyptic number.

212000222000120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212000222000120 is an abundant number, since it is smaller than the sum of its proper divisors (274965030375880).

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

212000222000120 is a wasteful number, since it uses less digits than its factorization.

212000222000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500993288 (or 500993284 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 212000222000120 its reverse (21000222000212), we get a palindrome (233000444000332).

The spelling of 212000222000120 in words is "two hundred twelve trillion, two hundred twenty-two million, one hundred twenty", and thus it is an aban number.