212112120102120 has 384 divisors, whose sum is σ = 826353847987200. Its totient is φ = 46168755591168.

The previous prime is 212112120102061. The next prime is 212112120102143. The reversal of 212112120102120 is 21201021211212.

212112120102120 is a `hidden beast` number, since 21 + 211 + 21 + 201 + 0 + 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 = 212112120102093 and 212112120102102.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19818835 + ... + 28583394.

It is an arithmetic number, because the mean of its divisors is an integer number (2151963145800).

Almost surely, 2^{212112120102120} is an apocalyptic number.

212112120102120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212112120102120 is an abundant number, since it is smaller than the sum of its proper divisors (614241727885080).

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

212112120102120 is a wasteful number, since it uses less digits than its factorization.

212112120102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48402337 (or 48402330 counting only the distinct ones).

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

Adding to 212112120102120 its reverse (21201021211212), we get a palindrome (233313141313332).

The spelling of 212112120102120 in words is "two hundred twelve trillion, one hundred twelve billion, one hundred twenty million, one hundred two thousand, one hundred twenty".