212000431120 has 20 divisors (see below), whose sum is σ = 492901002540. Its totient is φ = 84800172416.

The previous prime is 212000431099. The next prime is 212000431121. The reversal of 212000431120 is 21134000212.

It can be written as a sum of positive squares in 2 ways, for example, as 40644172816 + 171356258304 = 201604^2 + 413952^2 .

It is a tau number, because it is divible by the number of its divisors (20).

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 = 212000431094 and 212000431103.

It is not an unprimeable number, because it can be changed into a prime (212000431121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1325002615 + ... + 1325002774.

It is an arithmetic number, because the mean of its divisors is an integer number (24645050127).

Almost surely, 2^212000431120 is an apocalyptic number.

212000431120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212000431120 is an abundant number, since it is smaller than the sum of its proper divisors (280900571420).

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

212000431120 is a wasteful number, since it uses less digits than its factorization.

212000431120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2650005402 (or 2650005396 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 212000431120 its reverse (21134000212), we get a palindrome (233134431332).

The spelling of 212000431120 in words is "two hundred twelve billion, four hundred thirty-one thousand, one hundred twenty".