14211120000 has 640 divisors, whose sum is σ = 58886150400. Its totient is φ = 2949120000.

The previous prime is 14211119987. The next prime is 14211120013. The reversal of 14211120000 is 2111241.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14211119987) and next prime (14211120013).

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18479616 + ... + 18480384.

It is an arithmetic number, because the mean of its divisors is an integer number (92009610).

Almost surely, 2^14211120000 is an apocalyptic number.

14211120000 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 14211120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29443075200).

14211120000 is an abundant number, since it is smaller than the sum of its proper divisors (44675030400).

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

14211120000 is an equidigital number, since it uses as much as digits as its factorization.

14211120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 14211120000 its reverse (2111241), we get a palindrome (14213231241).

The spelling of 14211120000 in words is "fourteen billion, two hundred eleven million, one hundred twenty thousand".