210112111111120 has 40 divisors (see below), whose sum is σ = 489671016270120. Its totient is φ = 83845212971520.

The previous prime is 210112111111069. The next prime is 210112111111129. The reversal of 210112111111120 is 21111111211012.

It can be written as a sum of positive squares in 4 ways, for example, as 219934736784 + 209892176374336 = 468972^2 + 14487656^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 210112111111094 and 210112111111103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210112111111129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3119207875 + ... + 3119275234.

It is an arithmetic number, because the mean of its divisors is an integer number (12241775406753).

Almost surely, 2^{210112111111120} is an apocalyptic number.

210112111111120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210112111111120 is an abundant number, since it is smaller than the sum of its proper divisors (279558905159000).

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

210112111111120 is a wasteful number, since it uses less digits than its factorization.

210112111111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6238483543 (or 6238483537 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 16.

Adding to 210112111111120 its reverse (21111111211012), we get a palindrome (231223222322132).

The spelling of 210112111111120 in words is "two hundred ten trillion, one hundred twelve billion, one hundred eleven million, one hundred eleven thousand, one hundred twenty".