1217936385600 has 1344 divisors, whose sum is σ = 4849275340800. Its totient is φ = 264126464000.

The previous prime is 1217936385557. The next prime is 1217936385647. The reversal of 1217936385600 is 65836397121.

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

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 1848158071 + ... + 1848158729.

Almost surely, 2^{1217936385600} is an apocalyptic number.

1217936385600 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 1217936385600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2424637670400).

1217936385600 is an abundant number, since it is smaller than the sum of its proper divisors (3631338955200).

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

1217936385600 is a wasteful number, since it uses less digits than its factorization.

1217936385600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 51.

The spelling of 1217936385600 in words is "one trillion, two hundred seventeen billion, nine hundred thirty-six million, three hundred eighty-five thousand, six hundred".