212141031423040 has 224 divisors, whose sum is σ = 510598874765664. Its totient is φ = 83947715297280.

The previous prime is 212141031423031. The next prime is 212141031423047. The reversal of 212141031423040 is 40324130141212.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 5980137666624 + 206160893756416 = 2445432^2 + 14358304^2 .

It is not an unprimeable number, because it can be changed into a prime (212141031423047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15506245000 + ... + 15506258680.

Almost surely, 2^{212141031423040} is an apocalyptic number.

212141031423040 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 212141031423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255299437382832).

212141031423040 is an abundant number, since it is smaller than the sum of its proper divisors (298457843342624).

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

212141031423040 is a wasteful number, since it uses less digits than its factorization.

212141031423040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15025 (or 15015 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 212141031423040 its reverse (40324130141212), we get a palindrome (252465161564252).

The spelling of 212141031423040 in words is "two hundred twelve trillion, one hundred forty-one billion, thirty-one million, four hundred twenty-three thousand, forty".