212112201120 has 96 divisors (see below), whose sum is σ = 684449922240. Its totient is φ = 55183656960.

The previous prime is 212112201113. The next prime is 212112201149. The reversal of 212112201120 is 21102211212.

212112201120 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 (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212112201120.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5369350 + ... + 5408709.

It is an arithmetic number, because the mean of its divisors is an integer number (7129686690).

Almost surely, 2^212112201120 is an apocalyptic number.

212112201120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212112201120 is an abundant number, since it is smaller than the sum of its proper divisors (472337721120).

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

212112201120 is a wasteful number, since it uses less digits than its factorization.

212112201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10778118 (or 10778110 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 212112201120 its reverse (21102211212), we get a palindrome (233214412332).

The spelling of 212112201120 in words is "two hundred twelve billion, one hundred twelve million, two hundred one thousand, one hundred twenty".