1217382007680 has 384 divisors, whose sum is σ = 4357676232000. Its totient is φ = 312796151808.

The previous prime is 1217382007669. The next prime is 1217382007691. The reversal of 1217382007680 is 867002837121.

1217382007680 is a `hidden beast` number, since 121 + 7 + 382 + 0 + 0 + 76 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (1217382007669) and next prime (1217382007691).

It is a tau number, because it is divible by the number of its divisors (384).

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

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 47 ways as a sum of consecutive naturals, for example, 84013876 + ... + 84028364.

Almost surely, 2^{1217382007680} is an apocalyptic number.

1217382007680 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 1217382007680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2178838116000).

1217382007680 is an abundant number, since it is smaller than the sum of its proper divisors (3140294224320).

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

1217382007680 is a wasteful number, since it uses less digits than its factorization.

1217382007680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15046 (or 15031 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 1217382007680 in words is "one trillion, two hundred seventeen billion, three hundred eighty-two million, seven thousand, six hundred eighty".