12681782451000 has 384 divisors, whose sum is σ = 48877089206400. Its totient is φ = 2938041446400.

The previous prime is 12681782450923. The next prime is 12681782451001. The reversal of 12681782451000 is 15428718621.

12681782451000 is a `hidden beast` number, since 1 + 2 + 68 + 1 + 78 + 2 + 4 + 510 + 0 + 0 = 666.

It is a super-2 number, since 2×12681782451000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12681782451001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1198980 + ... + 5176979.

It is an arithmetic number, because the mean of its divisors is an integer number (127284086475).

Almost surely, 2^{12681782451000} is an apocalyptic number.

12681782451000 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 12681782451000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24438544603200).

12681782451000 is an abundant number, since it is smaller than the sum of its proper divisors (36195306755400).

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

12681782451000 is a wasteful number, since it uses less digits than its factorization.

12681782451000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6376016 (or 6375999 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 12681782451000 in words is "twelve trillion, six hundred eighty-one billion, seven hundred eighty-two million, four hundred fifty-one thousand".