14066120125200 has 960 divisors, whose sum is σ = 54950306955264. Its totient is φ = 3030082560000.

The previous prime is 14066120125121. The next prime is 14066120125219. The reversal of 14066120125200 is 252102166041.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 491962905 + ... + 491991495.

Almost surely, 2^{14066120125200} is an apocalyptic number.

14066120125200 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 14066120125200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27475153477632).

14066120125200 is an abundant number, since it is smaller than the sum of its proper divisors (40884186830064).

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

14066120125200 is a wasteful number, since it uses less digits than its factorization.

14066120125200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28744 (or 28733 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 14066120125200 in words is "fourteen trillion, sixty-six billion, one hundred twenty million, one hundred twenty-five thousand, two hundred".