14242120000 has 140 divisors (see below), whose sum is σ = 35770799680. Its totient is φ = 5623488000.

The previous prime is 14242119977. The next prime is 14242120019. The reversal of 14242120000 is 2124241.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3157747 + ... + 3162253.

It is an arithmetic number, because the mean of its divisors is an integer number (255505712).

Almost surely, 2^14242120000 is an apocalyptic number.

14242120000 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 14242120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17885399840).

14242120000 is an abundant number, since it is smaller than the sum of its proper divisors (21528679680).

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

14242120000 is an frugal number, since it uses more digits than its factorization.

14242120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4618 (or 4593 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 14242120000 its reverse (2124241), we get a palindrome (14244244241).

The spelling of 14242120000 in words is "fourteen billion, two hundred forty-two million, one hundred twenty thousand".