20231221200000 has 192 divisors, whose sum is σ = 67169681490240. Its totient is φ = 5394992000000.

The previous prime is 20231221199977. The next prime is 20231221200011. The reversal of 20231221200000 is 212213202.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×20231221200000² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7229676 + ... + 9629675.

It is an arithmetic number, because the mean of its divisors is an integer number (349842091095).

Almost surely, 2^{20231221200000} is an apocalyptic number.

20231221200000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20231221200000 is an abundant number, since it is smaller than the sum of its proper divisors (46938460290240).

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

20231221200000 is an frugal number, since it uses more digits than its factorization.

20231221200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16859393 (or 16859361 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 20231221200000 its reverse (212213202), we get a palindrome (20231433413202).

The spelling of 20231221200000 in words is "twenty trillion, two hundred thirty-one billion, two hundred twenty-one million, two hundred thousand".