199196313120 has 864 divisors, whose sum is σ = 859385479680. Its totient is φ = 41734103040.

The previous prime is 199196313047. The next prime is 199196313131. The reversal of 199196313120 is 21313691991.

199196313120 is a `hidden beast` number, since 1 + 9 + 9 + 1 + 9 + 631 + 3 + 1 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 41557444 + ... + 41562236.

It is an arithmetic number, because the mean of its divisors is an integer number (994659120).

Almost surely, 2^199196313120 is an apocalyptic number.

199196313120 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 199196313120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429692739840).

199196313120 is an abundant number, since it is smaller than the sum of its proper divisors (660189166560).

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

199196313120 is a wasteful number, since it uses less digits than its factorization.

199196313120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4878 (or 4860 counting only the distinct ones).

The product of its (nonzero) digits is 78732, while the sum is 45.

The spelling of 199196313120 in words is "one hundred ninety-nine billion, one hundred ninety-six million, three hundred thirteen thousand, one hundred twenty".