10120014320 has 80 divisors (see below), whose sum is σ = 26829532800. Its totient is φ = 3516813312.

The previous prime is 10120014293. The next prime is 10120014341. The reversal of 10120014320 is 2341002101.

10120014320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 10120014295 and 10120014304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 268520 + ... + 303879.

It is an arithmetic number, because the mean of its divisors is an integer number (335369160).

Almost surely, 2^10120014320 is an apocalyptic number.

10120014320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10120014320 is an abundant number, since it is smaller than the sum of its proper divisors (16709518480).

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

10120014320 is a wasteful number, since it uses less digits than its factorization.

10120014320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572442 (or 572436 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10120014320 its reverse (2341002101), we get a palindrome (12461016421).

The spelling of 10120014320 in words is "ten billion, one hundred twenty million, fourteen thousand, three hundred twenty".