10242240312000 has 112 divisors (see below), whose sum is σ = 33819877589472. Its totient is φ = 2731264076800.

The previous prime is 10242240311993. The next prime is 10242240312019. The reversal of 10242240312000 is 21304224201.

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 15 ways as a sum of consecutive naturals, for example, 213356007 + ... + 213404006.

Almost surely, 2^{10242240312000} is an apocalyptic number.

10242240312000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10242240312000 is an abundant number, since it is smaller than the sum of its proper divisors (23577637277472).

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

10242240312000 is an equidigital number, since it uses as much as digits as its factorization.

10242240312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426760043 (or 426760023 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 10242240312000 its reverse (21304224201), we get a palindrome (10263544536201).

The spelling of 10242240312000 in words is "ten trillion, two hundred forty-two billion, two hundred forty million, three hundred twelve thousand".