119672340480000 has 4800 divisors, whose sum is σ = 588691278489600. Its totient is φ = 22649241600000.

The previous prime is 119672340479903. The next prime is 119672340480019. The reversal of 119672340480000 is 84043276911.

119672340480000 is a `hidden beast` number, since 11 + 96 + 72 + 3 + 4 + 0 + 480 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4800).

It is a super-2 number, since 2×119672340480000² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3860398079985 + ... + 3860398080015.

It is an arithmetic number, because the mean of its divisors is an integer number (122644016352).

Almost surely, 2^{119672340480000} is an apocalyptic number.

119672340480000 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 119672340480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294345639244800).

119672340480000 is an abundant number, since it is smaller than the sum of its proper divisors (469018938009600).

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

119672340480000 is an frugal number, since it uses more digits than its factorization.

119672340480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 119672340480000 in words is "one hundred nineteen trillion, six hundred seventy-two billion, three hundred forty million, four hundred eighty thousand".