212010112111120 has 40 divisors (see below), whose sum is σ = 521919011288664. Its totient is φ = 79815571617792.

The previous prime is 212010112111111. The next prime is 212010112111129. The reversal of 212010112111120 is 21111211010212.

It is an interprime number because it is at equal distance from previous prime (212010112111111) and next prime (212010112111129).

It can be written as a sum of positive squares in 4 ways, for example, as 99046205222416 + 112963906888704 = 9952196^2 + 10628448^2 .

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 = 212010112111094 and 212010112111103.

It is not an unprimeable number, because it can be changed into a prime (212010112111129) 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, 77944892799 + ... + 77944895518.

Almost surely, 2^{212010112111120} is an apocalyptic number.

212010112111120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212010112111120 is an abundant number, since it is smaller than the sum of its proper divisors (309908899177544).

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

212010112111120 is a wasteful number, since it uses less digits than its factorization.

212010112111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155889788347 (or 155889788341 counting only the distinct ones).

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

Adding to 212010112111120 its reverse (21111211010212), we get a palindrome (233121323121332).

The spelling of 212010112111120 in words is "two hundred twelve trillion, ten billion, one hundred twelve million, one hundred eleven thousand, one hundred twenty".