212011110112120 has 64 divisors (see below), whose sum is σ = 532493020794240. Its totient is φ = 75302043331200.

The previous prime is 212011110112099. The next prime is 212011110112133. The reversal of 212011110112120 is 21211011110212.

It is a junction number, because it is equal to n+sod(n) for n = 212011110112094 and 212011110112103.

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, 5602811686 + ... + 5602849525.

It is an arithmetic number, because the mean of its divisors is an integer number (8320203449910).

Almost surely, 2^{212011110112120} is an apocalyptic number.

212011110112120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212011110112120 is an abundant number, since it is smaller than the sum of its proper divisors (320481910682120).

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

212011110112120 is a wasteful number, since it uses less digits than its factorization.

212011110112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11205661276 (or 11205661272 counting only the distinct ones).

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

Adding to 212011110112120 its reverse (21211011110212), we get a palindrome (233222121222332).

The spelling of 212011110112120 in words is "two hundred twelve trillion, eleven billion, one hundred ten million, one hundred twelve thousand, one hundred twenty".