20231221034400 has 72 divisors (see below), whose sum is σ = 65852624474784. Its totient is φ = 5394992275200.

The previous prime is 20231221034329. The next prime is 20231221034407. The reversal of 20231221034400 is 443012213202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (20231221034407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4214835316 + ... + 4214840115.

It is an arithmetic number, because the mean of its divisors is an integer number (914619784372).

Almost surely, 2^{20231221034400} is an apocalyptic number.

20231221034400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20231221034400 is an abundant number, since it is smaller than the sum of its proper divisors (45621403440384).

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

20231221034400 is a wasteful number, since it uses less digits than its factorization.

20231221034400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8429675454 (or 8429675441 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 20231221034400 its reverse (443012213202), we get a palindrome (20674233247602).

The spelling of 20231221034400 in words is "twenty trillion, two hundred thirty-one billion, two hundred twenty-one million, thirty-four thousand, four hundred".