12051326430 has 288 divisors, whose sum is σ = 37585023840. Its totient is φ = 2641236480.

The previous prime is 12051326411. The next prime is 12051326467. The reversal of 12051326430 is 3462315021.

12051326430 is a `hidden beast` number, since 1 + 2 + 0 + 5 + 13 + 2 + 643 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12051326394 and 12051326403.

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, 44800336 + ... + 44800604.

It is an arithmetic number, because the mean of its divisors is an integer number (130503555).

Almost surely, 2^12051326430 is an apocalyptic number.

12051326430 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 12051326430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18792511920).

12051326430 is an abundant number, since it is smaller than the sum of its proper divisors (25533697410).

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

12051326430 is a wasteful number, since it uses less digits than its factorization.

12051326430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

It can be divided in two parts, 1205 and 1326430, that added together give a triangular number (1327635 = T₁₆₂₉).

The spelling of 12051326430 in words is "twelve billion, fifty-one million, three hundred twenty-six thousand, four hundred thirty".