212012101120 has 80 divisors (see below), whose sum is σ = 530433684000. Its totient is φ = 81117650944.

The previous prime is 212012101117. The next prime is 212012101127. The reversal of 212012101120 is 21101210212.

212012101120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 212012101120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212012101127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1741495 + ... + 1859254.

It is an arithmetic number, because the mean of its divisors is an integer number (6630421050).

Almost surely, 2^212012101120 is an apocalyptic number.

212012101120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212012101120 is an abundant number, since it is smaller than the sum of its proper divisors (318421582880).

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

212012101120 is an equidigital number, since it uses as much as digits as its factorization.

212012101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3600795 (or 3600779 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 212012101120 its reverse (21101210212), we get a palindrome (233113311332).

The spelling of 212012101120 in words is "two hundred twelve billion, twelve million, one hundred one thousand, one hundred twenty".