12701787000 has 256 divisors, whose sum is σ = 45413222400. Its totient is φ = 2895436800.

The previous prime is 12701786987. The next prime is 12701787011. The reversal of 12701787000 is 78710721.

It is a super-2 number, since 2×12701787000² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11948469 + ... + 11949531.

It is an arithmetic number, because the mean of its divisors is an integer number (177395400).

Almost surely, 2^12701787000 is an apocalyptic number.

12701787000 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 12701787000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22706611200).

12701787000 is an abundant number, since it is smaller than the sum of its proper divisors (32711435400).

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

12701787000 is a wasteful number, since it uses less digits than its factorization.

12701787000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1663 (or 1649 counting only the distinct ones).

The product of its (nonzero) digits is 5488, while the sum is 33.

The spelling of 12701787000 in words is "twelve billion, seven hundred one million, seven hundred eighty-seven thousand".