212134134432 has 192 divisors, whose sum is σ = 651355084800. Its totient is φ = 59735470080.

The previous prime is 212134134419. The next prime is 212134134461. The reversal of 212134134432 is 234431431212.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 212134134432.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1343419 + ... + 1492997.

It is an arithmetic number, because the mean of its divisors is an integer number (3392474400).

Almost surely, 2^212134134432 is an apocalyptic number.

212134134432 is a gapful number since it is divisible by the number (22) 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 212134134432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325677542400).

212134134432 is an abundant number, since it is smaller than the sum of its proper divisors (439220950368).

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

212134134432 is a wasteful number, since it uses less digits than its factorization.

212134134432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149699 (or 149691 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

Adding to 212134134432 its reverse (234431431212), we get a palindrome (446565565644).

The spelling of 212134134432 in words is "two hundred twelve billion, one hundred thirty-four million, one hundred thirty-four thousand, four hundred thirty-two".