12427264500 has 384 divisors, whose sum is σ = 43359633408. Its totient is φ = 2706048000.

The previous prime is 12427264463. The next prime is 12427264529. The reversal of 12427264500 is 546272421.

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, 23761239 + ... + 23761761.

It is an arithmetic number, because the mean of its divisors is an integer number (112915712).

Almost surely, 2^12427264500 is an apocalyptic number.

12427264500 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 12427264500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21679816704).

12427264500 is an abundant number, since it is smaller than the sum of its proper divisors (30932368908).

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

12427264500 is a wasteful number, since it uses less digits than its factorization.

12427264500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The spelling of 12427264500 in words is "twelve billion, four hundred twenty-seven million, two hundred sixty-four thousand, five hundred".