12460851000 has 512 divisors, whose sum is σ = 47048601600. Its totient is φ = 3032640000.

The previous prime is 12460850939. The next prime is 12460851023. The reversal of 12460851000 is 15806421.

12460851000 is a `hidden beast` number, since 1 + 2 + 4 + 608 + 51 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 45980865 + ... + 45981135.

It is an arithmetic number, because the mean of its divisors is an integer number (91891800).

Almost surely, 2^12460851000 is an apocalyptic number.

12460851000 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 12460851000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23524300800).

12460851000 is an abundant number, since it is smaller than the sum of its proper divisors (34587750600).

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

12460851000 is a wasteful number, since it uses less digits than its factorization.

12460851000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 12460851000 in words is "twelve billion, four hundred sixty million, eight hundred fifty-one thousand".