10012014320 has 240 divisors, whose sum is σ = 29479779840. Its totient is φ = 3095262720.

The previous prime is 10012014319. The next prime is 10012014329. The reversal of 10012014320 is 2341021001.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 10012014295 and 10012014304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012014329) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9418109 + ... + 9419171.

It is an arithmetic number, because the mean of its divisors is an integer number (122832416).

Almost surely, 2^10012014320 is an apocalyptic number.

10012014320 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 10012014320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14739889920).

10012014320 is an abundant number, since it is smaller than the sum of its proper divisors (19467765520).

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

10012014320 is a wasteful number, since it uses less digits than its factorization.

10012014320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1244 (or 1227 counting only the distinct ones).

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

Adding to 10012014320 its reverse (2341021001), we get a palindrome (12353035321).

The spelling of 10012014320 in words is "ten billion, twelve million, fourteen thousand, three hundred twenty".