212010440000 has 140 divisors (see below), whose sum is σ = 526536569988. Its totient is φ = 84672000000.

The previous prime is 212010439987. The next prime is 212010440017. The reversal of 212010440000 is 44010212.

It can be written as a sum of positive squares in 10 ways, for example, as 150954006784 + 61056433216 = 388528^2 + 247096^2 .

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 28036220 + ... + 28043780.

Almost surely, 2^212010440000 is an apocalyptic number.

212010440000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212010440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263268284994).

212010440000 is an abundant number, since it is smaller than the sum of its proper divisors (314526129988).

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

212010440000 is an frugal number, since it uses more digits than its factorization.

212010440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8294 (or 8269 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 212010440000 its reverse (44010212), we get a palindrome (212054450212).

The spelling of 212010440000 in words is "two hundred twelve billion, ten million, four hundred forty thousand".