14241122313000 has 1024 divisors, whose sum is σ = 52738240389120. Its totient is φ = 3164249088000.

The previous prime is 14241122312999. The next prime is 14241122313017. The reversal of 14241122313000 is 31322114241.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1729756884 + ... + 1729765116.

It is an arithmetic number, because the mean of its divisors is an integer number (51502187880).

Almost surely, 2^{14241122313000} is an apocalyptic number.

14241122313000 is a gapful number since it is divisible by the number (10) 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 14241122313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26369120194560).

14241122313000 is an abundant number, since it is smaller than the sum of its proper divisors (38497118076120).

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

14241122313000 is a wasteful number, since it uses less digits than its factorization.

14241122313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8387 (or 8373 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 14241122313000 its reverse (31322114241), we get a palindrome (14272444427241).

The spelling of 14241122313000 in words is "fourteen trillion, two hundred forty-one billion, one hundred twenty-two million, three hundred thirteen thousand".