12682729266000 has 320 divisors, whose sum is σ = 43394962830336. Its totient is φ = 3175719936000.

The previous prime is 12682729265981. The next prime is 12682729266023. The reversal of 12682729266000 is 66292728621.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43817754 + ... + 44106246.

Almost surely, 2^{12682729266000} is an apocalyptic number.

12682729266000 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 12682729266000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21697481415168).

12682729266000 is an abundant number, since it is smaller than the sum of its proper divisors (30712233564336).

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

12682729266000 is a wasteful number, since it uses less digits than its factorization.

12682729266000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288967 (or 288951 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 12682729266000 in words is "twelve trillion, six hundred eighty-two billion, seven hundred twenty-nine million, two hundred sixty-six thousand".