199729413120 has 176 divisors, whose sum is σ = 639446117760. Its totient is φ = 53209153536.

The previous prime is 199729413097. The next prime is 199729413127. The reversal of 199729413120 is 21314927991.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 199729413120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199729413127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17243491 + ... + 17255069.

Almost surely, 2^199729413120 is an apocalyptic number.

199729413120 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 199729413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319723058880).

199729413120 is an abundant number, since it is smaller than the sum of its proper divisors (439716704640).

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

199729413120 is a wasteful number, since it uses less digits than its factorization.

199729413120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12730 (or 12712 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 48.

The spelling of 199729413120 in words is "one hundred ninety-nine billion, seven hundred twenty-nine million, four hundred thirteen thousand, one hundred twenty".