14014120000 has 280 divisors, whose sum is σ = 37856900664. Its totient is φ = 5124096000.

The previous prime is 14014119991. The next prime is 14014120009. The reversal of 14014120000 is 2141041.

It is an interprime number because it is at equal distance from previous prime (14014119991) and next prime (14014120009).

It can be written as a sum of positive squares in 20 ways, for example, as 13210284096 + 803835904 = 114936^2 + 28352^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14014120009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 25159722 + ... + 25160278.

Almost surely, 2^14014120000 is an apocalyptic number.

14014120000 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 14014120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18928450332).

14014120000 is an abundant number, since it is smaller than the sum of its proper divisors (23842780664).

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

14014120000 is an equidigital number, since it uses as much as digits as its factorization.

14014120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 14014120000 its reverse (2141041), we get a palindrome (14016261041).

The spelling of 14014120000 in words is "fourteen billion, fourteen million, one hundred twenty thousand".