200123212032 has 288 divisors, whose sum is σ = 616560336000. Its totient is φ = 63972311040.

The previous prime is 200123212013. The next prime is 200123212049. The reversal of 200123212032 is 230212321002.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 200123211996 and 200123212014.

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, 16714144 + ... + 16726112.

It is an arithmetic number, because the mean of its divisors is an integer number (2140834500).

Almost surely, 2^200123212032 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 200123212032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308280168000).

200123212032 is an abundant number, since it is smaller than the sum of its proper divisors (416437123968).

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

200123212032 is a wasteful number, since it uses less digits than its factorization.

200123212032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12094 (or 12074 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 200123212032 its reverse (230212321002), we get a palindrome (430335533034).

The spelling of 200123212032 in words is "two hundred billion, one hundred twenty-three million, two hundred twelve thousand, thirty-two".