14120568000 has 1120 divisors, whose sum is σ = 65358678528. Its totient is φ = 2923776000.

The previous prime is 14120567987. The next prime is 14120568013. The reversal of 14120568000 is 86502141.

It is an interprime number because it is at equal distance from previous prime (14120567987) and next prime (14120568013).

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 49895859 + ... + 49896141.

Almost surely, 2^14120568000 is an apocalyptic number.

14120568000 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 14120568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32679339264).

14120568000 is an abundant number, since it is smaller than the sum of its proper divisors (51238110528).

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

14120568000 is a wasteful number, since it uses less digits than its factorization.

14120568000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 14120568000 in words is "fourteen billion, one hundred twenty million, five hundred sixty-eight thousand".