212233334231040 has 416 divisors, whose sum is σ = 681472118246400. Its totient is φ = 56395208982528.

The previous prime is 212233334231011. The next prime is 212233334231057. The reversal of 212233334231040 is 40132433332212.

It is a junction number, because it is equal to n+sod(n) for n = 212233334230992 and 212233334231010.

It is an unprimeable number.

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, 20719836159 + ... + 20719846401.

It is an arithmetic number, because the mean of its divisors is an integer number (1638154130400).

Almost surely, 2^{212233334231040} is an apocalyptic number.

212233334231040 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 212233334231040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340736059123200).

212233334231040 is an abundant number, since it is smaller than the sum of its proper divisors (469238784015360).

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

212233334231040 is a wasteful number, since it uses less digits than its factorization.

212233334231040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11437 (or 11415 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 33.

Adding to 212233334231040 its reverse (40132433332212), we get a palindrome (252365767563252).

The spelling of 212233334231040 in words is "two hundred twelve trillion, two hundred thirty-three billion, three hundred thirty-four million, two hundred thirty-one thousand, forty".