1171061248000 has 416 divisors, whose sum is σ = 3430790258688. Its totient is φ = 390610944000.

The previous prime is 1171061247949. The next prime is 1171061248001. The reversal of 1171061248000 is 8421601711.

It is not an unprimeable number, because it can be changed into a prime (1171061248001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132603585 + ... + 132612415.

It is an arithmetic number, because the mean of its divisors is an integer number (8247091968).

Almost surely, 2^{1171061248000} is an apocalyptic number.

1171061248000 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 1171061248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1715395129344).

1171061248000 is an abundant number, since it is smaller than the sum of its proper divisors (2259729010688).

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

1171061248000 is an frugal number, since it uses more digits than its factorization.

1171061248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8914 (or 8882 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 31.

Adding to 1171061248000 its reverse (8421601711), we get a palindrome (1179482849711).

The spelling of 1171061248000 in words is "one trillion, one hundred seventy-one billion, sixty-one million, two hundred forty-eight thousand".