118119830400000 has 6336 divisors, whose sum is σ = 553207282467840. Its totient is φ = 23843635200000.

The previous prime is 118119830399983. The next prime is 118119830400137. The reversal of 118119830400000 is 4038911811.

It is a tau number, because it is divible by the number of its divisors (6336).

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

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 2746972799979 + ... + 2746972800021.

It is an arithmetic number, because the mean of its divisors is an integer number (87311755440).

Almost surely, 2^{118119830400000} is an apocalyptic number.

118119830400000 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 118119830400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276603641233920).

118119830400000 is an abundant number, since it is smaller than the sum of its proper divisors (435087452067840).

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

118119830400000 is a wasteful number, since it uses less digits than its factorization.

118119830400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The spelling of 118119830400000 in words is "one hundred eighteen trillion, one hundred nineteen billion, eight hundred thirty million, four hundred thousand".