193120200 has 480 divisors, whose sum is σ = 831821760. Its totient is φ = 40435200.

The previous prime is 193120177. The next prime is 193120219. The reversal of 193120200 is 2021391.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 119 ways as a sum of consecutive naturals, for example, 1474135 + ... + 1474265.

It is an arithmetic number, because the mean of its divisors is an integer number (1732962).

Almost surely, 2^193120200 is an apocalyptic number.

193120200 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 193120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415910880).

193120200 is an abundant number, since it is smaller than the sum of its proper divisors (638701560).

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

193120200 is a wasteful number, since it uses less digits than its factorization.

193120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 193120200 is about 13896.7694087511. The cubic root of 193120200 is about 578.0196031873.

Adding to 193120200 its reverse (2021391), we get a palindrome (195141591).

The spelling of 193120200 in words is "one hundred ninety-three million, one hundred twenty thousand, two hundred".