12734722000 has 320 divisors, whose sum is σ = 41350353408. Its totient is φ = 3663360000.

The previous prime is 12734721983. The next prime is 12734722043. The reversal of 12734722000 is 22743721.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 12734722000.

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, 1998820 + ... + 2005180.

Almost surely, 2^12734722000 is an apocalyptic number.

12734722000 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 12734722000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20675176704).

12734722000 is an abundant number, since it is smaller than the sum of its proper divisors (28615631408).

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

12734722000 is a wasteful number, since it uses less digits than its factorization.

12734722000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6415 (or 6399 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 28.

The spelling of 12734722000 in words is "twelve billion, seven hundred thirty-four million, seven hundred twenty-two thousand".