199673223120 has 400 divisors, whose sum is σ = 804406931328. Its totient is φ = 44957721600.

The previous prime is 199673223119. The next prime is 199673223149. The reversal of 199673223120 is 21322376991.

199673223120 is a `hidden beast` number, since 1 + 9 + 9 + 6 + 7 + 322 + 312 + 0 = 666.

It is a super-2 number, since 2×199673223120² (a number of 23 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 (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3006270 + ... + 3071970.

Almost surely, 2^199673223120 is an apocalyptic number.

199673223120 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 199673223120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402203465664).

199673223120 is an abundant number, since it is smaller than the sum of its proper divisors (604733708208).

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

199673223120 is a wasteful number, since it uses less digits than its factorization.

199673223120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65800 (or 65785 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 199673223120 in words is "one hundred ninety-nine billion, six hundred seventy-three million, two hundred twenty-three thousand, one hundred twenty".