1117321963200 has 756 divisors, whose sum is σ = 4144544435304. Its totient is φ = 285281280000.

The previous prime is 1117321963157. The next prime is 1117321963237. The reversal of 1117321963200 is 23691237111.

1117321963200 is a `hidden beast` number, since 1 + 1 + 1 + 7 + 3 + 2 + 19 + 632 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 7399483125 + ... + 7399483275.

It is an arithmetic number, because the mean of its divisors is an integer number (5482201634).

Almost surely, 2^{1117321963200} is an apocalyptic number.

1117321963200 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 1117321963200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2072272217652).

1117321963200 is an abundant number, since it is smaller than the sum of its proper divisors (3027222472104).

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

1117321963200 is a wasteful number, since it uses less digits than its factorization.

1117321963200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 1117321963200 in words is "one trillion, one hundred seventeen billion, three hundred twenty-one million, nine hundred sixty-three thousand, two hundred".