1247127678720 has 2916 divisors, whose sum is σ = 6000967070280. Its totient is φ = 237584793600.

The previous prime is 1247127678617. The next prime is 1247127678721. The reversal of 1247127678720 is 278767217421.

It is a happy number.

1247127678720 is a `hidden beast` number, since 1 + 2 + 471 + 2 + 76 + 7 + 87 + 20 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1247127678721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 40229925105 + ... + 40229925135.

Almost surely, 2^{1247127678720} is an apocalyptic number.

1247127678720 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 1247127678720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3000483535140).

1247127678720 is an abundant number, since it is smaller than the sum of its proper divisors (4753839391560).

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

1247127678720 is a wasteful number, since it uses less digits than its factorization.

1247127678720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 3687936, while the sum is 54.

The spelling of 1247127678720 in words is "one trillion, two hundred forty-seven billion, one hundred twenty-seven million, six hundred seventy-eight thousand, seven hundred twenty".