116971512000 has 448 divisors, whose sum is σ = 448936750080. Its totient is φ = 26280960000.

The previous prime is 116971511981. The next prime is 116971512001. The reversal of 116971512000 is 215179611.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×116971512000² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (116971512001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9906100 + ... + 9917900.

It is an arithmetic number, because the mean of its divisors is an integer number (1002090960).

Almost surely, 2^116971512000 is an apocalyptic number.

116971512000 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 116971512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224468375040).

116971512000 is an abundant number, since it is smaller than the sum of its proper divisors (331965238080).

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

116971512000 is a wasteful number, since it uses less digits than its factorization.

116971512000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11897 (or 11877 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 33.

The spelling of 116971512000 in words is "one hundred sixteen billion, nine hundred seventy-one million, five hundred twelve thousand".