212123112002125 has 16 divisors (see below), whose sum is σ = 264736414753200. Its totient is φ = 169694149233600.

The previous prime is 212123112002071. The next prime is 212123112002147. The reversal of 212123112002125 is 521200211321212.

It can be written as a sum of positive squares in 8 ways, for example, as 30063925031364 + 182059186970761 = 5483058^2 + 13492931^2 .

It is not a de Polignac number, because 212123112002125 - 2¹¹ = 212123112000077 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a self number, because there is not a number n which added to its sum of digits gives 212123112002125.

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, 16790650 + ... + 26573899.

It is an arithmetic number, because the mean of its divisors is an integer number (16546025922075).

Almost surely, 2^{212123112002125} is an apocalyptic number.

212123112002125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

212123112002125 is a deficient number, since it is larger than the sum of its proper divisors (52613302751075).

212123112002125 is an equidigital number, since it uses as much as digits as its factorization.

212123112002125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43403697 (or 43403687 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

Adding to 212123112002125 its reverse (521200211321212), we get a palindrome (733323323323337).

The spelling of 212123112002125 in words is "two hundred twelve trillion, one hundred twenty-three billion, one hundred twelve million, two thousand, one hundred twenty-five".