212123120 has 40 divisors (see below), whose sum is σ = 538023600. Its totient is φ = 77135360.

The previous prime is 212123117. The next prime is 212123143. The reversal of 212123120 is 21321212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 212123095 and 212123104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 119645 + ... + 121404.

It is an arithmetic number, because the mean of its divisors is an integer number (13450590).

Almost surely, 2^212123120 is an apocalyptic number.

212123120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212123120 is an abundant number, since it is smaller than the sum of its proper divisors (325900480).

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

212123120 is a wasteful number, since it uses less digits than its factorization.

212123120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241073 (or 241067 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 212123120 is about 14564.4471230459. The cubic root of 212123120 is about 596.3886029265.

Adding to 212123120 its reverse (21321212), we get a palindrome (233444332).

The spelling of 212123120 in words is "two hundred twelve million, one hundred twenty-three thousand, one hundred twenty".