118971411012000 has 4608 divisors, whose sum is σ = 498494979440640. Its totient is φ = 27754721280000.

The previous prime is 118971411011963. The next prime is 118971411012001. The reversal of 118971411012000 is 210114179811.

118971411012000 is a `hidden beast` number, since 118 + 9 + 7 + 1 + 411 + 0 + 120 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (118971411012001) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 1505967227961 + ... + 1505967228039.

It is an arithmetic number, because the mean of its divisors is an integer number (108180334080).

Almost surely, 2^{118971411012000} is an apocalyptic number.

118971411012000 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 118971411012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249247489720320).

118971411012000 is an abundant number, since it is smaller than the sum of its proper divisors (379523568428640).

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

118971411012000 is a wasteful number, since it uses less digits than its factorization.

118971411012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 36.

The spelling of 118971411012000 in words is "one hundred eighteen trillion, nine hundred seventy-one billion, four hundred eleven million, twelve thousand".