212042341104 has 160 divisors (see below), whose sum is σ = 629316864000. Its totient is φ = 60845172480.

The previous prime is 212042341067. The next prime is 212042341139. The reversal of 212042341104 is 401143240212.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32129197 + ... + 32135795.

It is an arithmetic number, because the mean of its divisors is an integer number (3933230400).

Almost surely, 2^212042341104 is an apocalyptic number.

212042341104 is a gapful number since it is divisible by the number (24) 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 212042341104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314658432000).

212042341104 is an abundant number, since it is smaller than the sum of its proper divisors (417274522896).

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

212042341104 is a wasteful number, since it uses less digits than its factorization.

212042341104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9843 (or 9837 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 212042341104 its reverse (401143240212), we get a palindrome (613185581316).

The spelling of 212042341104 in words is "two hundred twelve billion, forty-two million, three hundred forty-one thousand, one hundred four".