12405012030 has 256 divisors, whose sum is σ = 37254297600. Its totient is φ = 2918799360.

The previous prime is 12405012023. The next prime is 12405012041. The reversal of 12405012030 is 3021050421.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12405011994 and 12405012012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8981940 + ... + 8983320.

It is an arithmetic number, because the mean of its divisors is an integer number (145524600).

Almost surely, 2^12405012030 is an apocalyptic number.

12405012030 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 12405012030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18627148800).

12405012030 is an abundant number, since it is smaller than the sum of its proper divisors (24849285570).

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

12405012030 is a wasteful number, since it uses less digits than its factorization.

12405012030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1536 (or 1530 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 12405012030 its reverse (3021050421), we get a palindrome (15426062451).

The spelling of 12405012030 in words is "twelve billion, four hundred five million, twelve thousand, thirty".