12600742000 has 240 divisors, whose sum is σ = 38668462560. Its totient is φ = 3927168000.

The previous prime is 12600741931. The next prime is 12600742051. The reversal of 12600742000 is 24700621.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1072156 + ... + 1083844.

It is an arithmetic number, because the mean of its divisors is an integer number (161118594).

Almost surely, 2^12600742000 is an apocalyptic number.

12600742000 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 12600742000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19334231280).

12600742000 is an abundant number, since it is smaller than the sum of its proper divisors (26067720560).

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

12600742000 is a wasteful number, since it uses less digits than its factorization.

12600742000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11737 (or 11714 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The spelling of 12600742000 in words is "twelve billion, six hundred million, seven hundred forty-two thousand".