212442304033120 has 192 divisors, whose sum is σ = 604364573030400. Its totient is φ = 68937395189760.

The previous prime is 212442304033103. The next prime is 212442304033121. The reversal of 212442304033120 is 21330403244212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212442304033121) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 17305690 + ... + 26914150.

It is an arithmetic number, because the mean of its divisors is an integer number (3147732151200).

Almost surely, 2^{212442304033120} is an apocalyptic number.

212442304033120 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 212442304033120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302182286515200).

212442304033120 is an abundant number, since it is smaller than the sum of its proper divisors (391922268997280).

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

212442304033120 is a wasteful number, since it uses less digits than its factorization.

212442304033120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9609541 (or 9609533 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 212442304033120 its reverse (21330403244212), we get a palindrome (233772707277332).

The spelling of 212442304033120 in words is "two hundred twelve trillion, four hundred forty-two billion, three hundred four million, thirty-three thousand, one hundred twenty".