20321002132200 has 1536 divisors, whose sum is σ = 92992848076800. Its totient is φ = 3948632064000.

The previous prime is 20321002132187. The next prime is 20321002132243. The reversal of 20321002132200 is 223120012302.

20321002132200 is a `hidden beast` number, since 2 + 0 + 321 + 0 + 0 + 21 + 322 + 0 + 0 = 666.

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 383 ways as a sum of consecutive naturals, for example, 1109761045 + ... + 1109779355.

It is an arithmetic number, because the mean of its divisors is an integer number (60542218800).

Almost surely, 2^{20321002132200} is an apocalyptic number.

20321002132200 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 20321002132200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46496424038400).

20321002132200 is an abundant number, since it is smaller than the sum of its proper divisors (72671845944600).

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

20321002132200 is a wasteful number, since it uses less digits than its factorization.

20321002132200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18528 (or 18513 counting only the distinct ones).

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

Adding to 20321002132200 its reverse (223120012302), we get a palindrome (20544122144502).

The spelling of 20321002132200 in words is "twenty trillion, three hundred twenty-one billion, two million, one hundred thirty-two thousand, two hundred".