119233128960 has 720 divisors, whose sum is σ = 477991594080. Its totient is φ = 27371520000.

The previous prime is 119233128919. The next prime is 119233128961. The reversal of 119233128960 is 69821332911.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (119233128961) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 52967835 + ... + 52970085.

It is an arithmetic number, because the mean of its divisors is an integer number (663877214).

Almost surely, 2^119233128960 is an apocalyptic number.

119233128960 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 119233128960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238995797040).

119233128960 is an abundant number, since it is smaller than the sum of its proper divisors (358758465120).

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

119233128960 is a wasteful number, since it uses less digits than its factorization.

119233128960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2321 (or 2291 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 119233128960 in words is "one hundred nineteen billion, two hundred thirty-three million, one hundred twenty-eight thousand, nine hundred sixty".