200132022312 has 192 divisors, whose sum is σ = 564221408400. Its totient is φ = 64031109120.

The previous prime is 200132022287. The next prime is 200132022331. The reversal of 200132022312 is 213220231002.

200132022312 is a `hidden beast` number, since 200 + 132 + 0 + 22 + 312 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 156336415236 + 43795607076 = 395394^2 + 209274^2 .

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 47 ways as a sum of consecutive naturals, for example, 156719818 + ... + 156721094.

Almost surely, 2^200132022312 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 200132022312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282110704200).

200132022312 is an abundant number, since it is smaller than the sum of its proper divisors (364089386088).

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

200132022312 is a wasteful number, since it uses less digits than its factorization.

200132022312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2076 (or 2069 counting only the distinct ones).

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

Adding to 200132022312 its reverse (213220231002), we get a palindrome (413352253314).

The spelling of 200132022312 in words is "two hundred billion, one hundred thirty-two million, twenty-two thousand, three hundred twelve".