212442333400 has 96 divisors (see below), whose sum is σ = 540049809600. Its totient is φ = 77077020800.

The previous prime is 212442333371. The next prime is 212442333413. The reversal of 212442333400 is 4333244212.

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 23 ways as a sum of consecutive naturals, for example, 865611 + ... + 1083589.

It is an arithmetic number, because the mean of its divisors is an integer number (5625518850).

Almost surely, 2^212442333400 is an apocalyptic number.

212442333400 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 212442333400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270024904800).

212442333400 is an abundant number, since it is smaller than the sum of its proper divisors (327607476200).

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

212442333400 is a wasteful number, since it uses less digits than its factorization.

212442333400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218449 (or 218440 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 212442333400 its reverse (4333244212), we get a palindrome (216775577612).

The spelling of 212442333400 in words is "two hundred twelve billion, four hundred forty-two million, three hundred thirty-three thousand, four hundred".