20321311021200 has 1440 divisors, whose sum is σ = 87134537318400. Its totient is φ = 4286895943680.

The previous prime is 20321311021183. The next prime is 20321311021273. The reversal of 20321311021200 is 212011312302.

20321311021200 is a `hidden beast` number, since 20 + 321 + 3 + 110 + 212 + 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 287 ways as a sum of consecutive naturals, for example, 1476939921 + ... + 1476953679.

It is an arithmetic number, because the mean of its divisors is an integer number (60510095360).

Almost surely, 2^{20321311021200} is an apocalyptic number.

20321311021200 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 20321311021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43567268659200).

20321311021200 is an abundant number, since it is smaller than the sum of its proper divisors (66813226297200).

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

20321311021200 is a wasteful number, since it uses less digits than its factorization.

20321311021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13909 (or 13895 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 20321311021200 its reverse (212011312302), we get a palindrome (20533322333502).

The spelling of 20321311021200 in words is "twenty trillion, three hundred twenty-one billion, three hundred eleven million, twenty-one thousand, two hundred".