14300001120 has 96 divisors (see below), whose sum is σ = 45097129728. Its totient is φ = 3808921088.

The previous prime is 14300001109. The next prime is 14300001143. The reversal of 14300001120 is 2110000341.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 14300001096 and 14300001105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 408967 + ... + 442553.

It is an arithmetic number, because the mean of its divisors is an integer number (469761768).

Almost surely, 2^14300001120 is an apocalyptic number.

14300001120 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 14300001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22548564864).

14300001120 is an abundant number, since it is smaller than the sum of its proper divisors (30797128608).

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

14300001120 is a wasteful number, since it uses less digits than its factorization.

14300001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34492 (or 34484 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 14300001120 its reverse (2110000341), we get a palindrome (16410001461).

The spelling of 14300001120 in words is "fourteen billion, three hundred million, one thousand, one hundred twenty".