12310013430 has 288 divisors, whose sum is σ = 38608708320. Its totient is φ = 2682777600.

The previous prime is 12310013411. The next prime is 12310013449. The reversal of 12310013430 is 3431001321.

12310013430 is a `hidden beast` number, since 1 + 231 + 0 + 0 + 1 + 3 + 430 = 666.

It is an interprime number because it is at equal distance from previous prime (12310013411) and next prime (12310013449).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21634186 + ... + 21634754.

It is an arithmetic number, because the mean of its divisors is an integer number (134058015).

Almost surely, 2^12310013430 is an apocalyptic number.

12310013430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12310013430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19304354160).

12310013430 is an abundant number, since it is smaller than the sum of its proper divisors (26298694890).

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

12310013430 is a wasteful number, since it uses less digits than its factorization.

12310013430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12310013430 its reverse (3431001321), we get a palindrome (15741014751).

The spelling of 12310013430 in words is "twelve billion, three hundred ten million, thirteen thousand, four hundred thirty".