200224252342112 has 192 divisors, whose sum is σ = 417957454946304. Its totient is φ = 94226380216320.

The previous prime is 200224252342091. The next prime is 200224252342189. The reversal of 200224252342112 is 211243252422002.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26742917633 + ... + 26742925119.

It is an arithmetic number, because the mean of its divisors is an integer number (2176861744512).

Almost surely, 2^{200224252342112} 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 200224252342112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208978727473152).

200224252342112 is an abundant number, since it is smaller than the sum of its proper divisors (217733202604192).

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

200224252342112 is a wasteful number, since it uses less digits than its factorization.

200224252342112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9301 (or 9293 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

The spelling of 200224252342112 in words is "two hundred trillion, two hundred twenty-four billion, two hundred fifty-two million, three hundred forty-two thousand, one hundred twelve".