20220127200 has 1152 divisors, whose sum is σ = 91834122240. Its totient is φ = 4232632320.

The previous prime is 20220127129. The next prime is 20220127201. The reversal of 20220127200 is 272102202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20220127201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 159213537 + ... + 159213663.

It is an arithmetic number, because the mean of its divisors is an integer number (79717120).

Almost surely, 2^20220127200 is an apocalyptic number.

20220127200 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 20220127200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45917061120).

20220127200 is an abundant number, since it is smaller than the sum of its proper divisors (71613995040).

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

20220127200 is a wasteful number, since it uses less digits than its factorization.

20220127200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

Adding to 20220127200 its reverse (272102202), we get a palindrome (20492229402).

The spelling of 20220127200 in words is "twenty billion, two hundred twenty million, one hundred twenty-seven thousand, two hundred".