20201121211200 has 1008 divisors, whose sum is σ = 69863784681600. Its totient is φ = 5107970949120.

The previous prime is 20201121211133. The next prime is 20201121211307. The reversal of 20201121211200 is 211212110202.

20201121211200 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20201121211200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 57882868626 + ... + 57882868974.

It is an arithmetic number, because the mean of its divisors is an integer number (69309310200).

Almost surely, 2^{20201121211200} is an apocalyptic number.

20201121211200 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 20201121211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34931892340800).

20201121211200 is an abundant number, since it is smaller than the sum of its proper divisors (49662663470400).

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

20201121211200 is a wasteful number, since it uses less digits than its factorization.

20201121211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 20201121211200 its reverse (211212110202), we get a palindrome (20412333321402).

The spelling of 20201121211200 in words is "twenty trillion, two hundred one billion, one hundred twenty-one million, two hundred eleven thousand, two hundred".