20221231200 has 144 divisors (see below), whose sum is σ = 66104425296. Its totient is φ = 5369036800.

The previous prime is 20221231193. The next prime is 20221231229. The reversal of 20221231200 is 213212202.

It is a happy number.

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 20221231200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 541120 + ... + 577280.

It is an arithmetic number, because the mean of its divisors is an integer number (459058509).

Almost surely, 2^20221231200 is an apocalyptic number.

20221231200 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 20221231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33052212648).

20221231200 is an abundant number, since it is smaller than the sum of its proper divisors (45883194096).

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

20221231200 is a wasteful number, since it uses less digits than its factorization.

20221231200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36417 (or 36404 counting only the distinct ones).

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

Adding to 20221231200 its reverse (213212202), we get a palindrome (20434443402).

It can be divided in two parts, 2022123 and 1200, that multiplied together give a square (2426547600 = 49260²).

The spelling of 20221231200 in words is "twenty billion, two hundred twenty-one million, two hundred thirty-one thousand, two hundred".