14242221312000 has 384 divisors, whose sum is σ = 51694438723200. Its totient is φ = 3452657664000.

The previous prime is 14242221311917. The next prime is 14242221312037. The reversal of 14242221312000 is 21312224241.

It is a tau number, because it is divible by the number of its divisors (384).

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 31 ways as a sum of consecutive naturals, for example, 7605066 + ... + 9290934.

It is an arithmetic number, because the mean of its divisors is an integer number (134620934175).

Almost surely, 2^{14242221312000} is an apocalyptic number.

14242221312000 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 14242221312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25847219361600).

14242221312000 is an abundant number, since it is smaller than the sum of its proper divisors (37452217411200).

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

14242221312000 is a wasteful number, since it uses less digits than its factorization.

14242221312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1685920 (or 1685890 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 14242221312000 its reverse (21312224241), we get a palindrome (14263533536241).

The spelling of 14242221312000 in words is "fourteen trillion, two hundred forty-two billion, two hundred twenty-one million, three hundred twelve thousand".