212121111120120 has 48 divisors (see below), whose sum is σ = 689393611141560. Its totient is φ = 56565629631936.

The previous prime is 212121111120047. The next prime is 212121111120173. The reversal of 212121111120120 is 21021111121212.

It is a happy number.

212121111120120 is a `hidden beast` number, since 2 + 121 + 211 + 111 + 201 + 20 = 666.

It is a super-3 number, since 3×212121111120120³ (a number of 44 digits) contains 333 as substring.

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 = 212121111120093 and 212121111120102.

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 11 ways as a sum of consecutive naturals, for example, 294612653974 + ... + 294612654693.

Almost surely, 2^{212121111120120} is an apocalyptic number.

212121111120120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212121111120120 is an abundant number, since it is smaller than the sum of its proper divisors (477272500021440).

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

212121111120120 is a wasteful number, since it uses less digits than its factorization.

212121111120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589225308684 (or 589225308677 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 212121111120120 its reverse (21021111121212), we get a palindrome (233142222241332).

The spelling of 212121111120120 in words is "two hundred twelve trillion, one hundred twenty-one billion, one hundred eleven million, one hundred twenty thousand, one hundred twenty".