212142044010 has 128 divisors (see below), whose sum is σ = 550966800384. Its totient is φ = 51966731520.

The previous prime is 212142043979. The next prime is 212142044053. The reversal of 212142044010 is 10440241212.

212142044010 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 113383375 + ... + 113385245.

It is an arithmetic number, because the mean of its divisors is an integer number (4304428128).

Almost surely, 2^212142044010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212142044010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275483400192).

212142044010 is an abundant number, since it is smaller than the sum of its proper divisors (338824756374).

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

212142044010 is a wasteful number, since it uses less digits than its factorization.

212142044010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3148.

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 212142044010 its reverse (10440241212), we get a palindrome (222582285222).

The spelling of 212142044010 in words is "two hundred twelve billion, one hundred forty-two million, forty-four thousand, ten".