1117813125000 has 768 divisors, whose sum is σ = 4145848761600. Its totient is φ = 249480000000.

The previous prime is 1117813124999. The next prime is 1117813125007. The reversal of 1117813125000 is 5213187111.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1117813125007) 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 191 ways as a sum of consecutive naturals, for example, 2949374811 + ... + 2949375189.

It is an arithmetic number, because the mean of its divisors is an integer number (5398240575).

Almost surely, 2^{1117813125000} is an apocalyptic number.

1117813125000 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 1117813125000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2072924380800).

1117813125000 is an abundant number, since it is smaller than the sum of its proper divisors (3028035636600).

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

1117813125000 is an equidigital number, since it uses as much as digits as its factorization.

1117813125000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 30.

The spelling of 1117813125000 in words is "one trillion, one hundred seventeen billion, eight hundred thirteen million, one hundred twenty-five thousand".