200120001000192 has 1152 divisors, whose sum is σ = 784543361925120. Its totient is φ = 48855535534080.

The previous prime is 200120001000173. The next prime is 200120001000233. The reversal of 200120001000192 is 291000100021002.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 448248183 + ... + 448694409.

Almost surely, 2^{200120001000192} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200120001000192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392271680962560).

200120001000192 is an abundant number, since it is smaller than the sum of its proper divisors (584423360924928).

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

200120001000192 is a wasteful number, since it uses less digits than its factorization.

200120001000192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446326 (or 446306 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 200120001000192 its reverse (291000100021002), we get a palindrome (491120101021194).

The spelling of 200120001000192 in words is "two hundred trillion, one hundred twenty billion, one million, one hundred ninety-two", and thus it is an aban number.