240242210220012 has 288 divisors, whose sum is σ = 768999997269504. Its totient is φ = 57381511219200.

The previous prime is 240242210219989. The next prime is 240242210220139. The reversal of 240242210220012 is 210022012242042.

It is a super-2 number, since 2×240242210220012² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16682212 + ... + 27545972.

It is an arithmetic number, because the mean of its divisors is an integer number (2670138879408).

Almost surely, 2^{240242210220012} is an apocalyptic number.

240242210220012 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 240242210220012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384499998634752).

240242210220012 is an abundant number, since it is smaller than the sum of its proper divisors (528757787049492).

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

240242210220012 is a wasteful number, since it uses less digits than its factorization.

240242210220012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10864069 (or 10864060 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 240242210220012 its reverse (210022012242042), we get a palindrome (450264222462054).

The spelling of 240242210220012 in words is "two hundred forty trillion, two hundred forty-two billion, two hundred ten million, two hundred twenty thousand, twelve".