200132122320 has 240 divisors, whose sum is σ = 726572246400. Its totient is φ = 49075375104.

The previous prime is 200132122319. The next prime is 200132122363. The reversal of 200132122320 is 23221231002.

200132122320 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 321 + 22 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 200132122293 and 200132122302.

It is a congruent number.

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, 2421031 + ... + 2502329.

It is an arithmetic number, because the mean of its divisors is an integer number (3027384360).

Almost surely, 2^200132122320 is an apocalyptic number.

200132122320 is a gapful number since it is divisible by the number (20) 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 200132122320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363286123200).

200132122320 is an abundant number, since it is smaller than the sum of its proper divisors (526440124080).

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

200132122320 is a wasteful number, since it uses less digits than its factorization.

200132122320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81594 (or 81585 counting only the distinct ones).

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

Adding to 200132122320 its reverse (23221231002), we get a palindrome (223353353322).

The spelling of 200132122320 in words is "two hundred billion, one hundred thirty-two million, one hundred twenty-two thousand, three hundred twenty".