10122014320 has 40 divisors (see below), whose sum is σ = 25673111280. Its totient is φ = 3680732160.

The previous prime is 10122014303. The next prime is 10122014323. The reversal of 10122014320 is 2341022101.

10122014320 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 (40).

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

It is a junction number, because it is equal to n+sod(n) for n = 10122014294 and 10122014303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122014323) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 5750265 + ... + 5752024.

It is an arithmetic number, because the mean of its divisors is an integer number (641827782).

Almost surely, 2^10122014320 is an apocalyptic number.

10122014320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122014320 is an abundant number, since it is smaller than the sum of its proper divisors (15551096960).

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

10122014320 is a wasteful number, since it uses less digits than its factorization.

10122014320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11502313 (or 11502307 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10122014320 its reverse (2341022101), we get a palindrome (12463036421).

The spelling of 10122014320 in words is "ten billion, one hundred twenty-two million, fourteen thousand, three hundred twenty".