212440424044212 has 576 divisors, whose sum is σ = 701249564381184. Its totient is φ = 52712949104640.

The previous prime is 212440424044201. The next prime is 212440424044217.

212440424044212 is a `hidden beast` number, since 2 + 1 + 2 + 4 + 404 + 240 + 4 + 4 + 2 + 1 + 2 = 666.

212440424044212 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212440424044217) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4798397308 + ... + 4798441580.

It is an arithmetic number, because the mean of its divisors is an integer number (1217447160384).

Almost surely, 2^{212440424044212} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212440424044212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350624782190592).

212440424044212 is an abundant number, since it is smaller than the sum of its proper divisors (488809140336972).

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

212440424044212 is a wasteful number, since it uses less digits than its factorization.

212440424044212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45648 (or 45643 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 36.

The spelling of 212440424044212 in words is "two hundred twelve trillion, four hundred forty billion, four hundred twenty-four million, forty-four thousand, two hundred twelve".