119828760307200 has 2160 divisors, whose sum is σ = 514120683098880. Its totient is φ = 27109808455680.

The previous prime is 119828760307141. The next prime is 119828760307273. The reversal of 119828760307200 is 2703067828911.

It is a happy number.

119828760307200 is a `hidden beast` number, since 1 + 1 + 9 + 8 + 2 + 8 + 7 + 603 + 0 + 7 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 60550155811 + ... + 60550157789.

It is an arithmetic number, because the mean of its divisors is an integer number (238018834768).

Almost surely, 2^{119828760307200} is an apocalyptic number.

119828760307200 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 119828760307200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257060341549440).

119828760307200 is an abundant number, since it is smaller than the sum of its proper divisors (394291922791680).

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

119828760307200 is an frugal number, since it uses more digits than its factorization.

119828760307200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2141 (or 2099 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 119828760307200 in words is "one hundred nineteen trillion, eight hundred twenty-eight billion, seven hundred sixty million, three hundred seven thousand, two hundred".