20122230023200 has 288 divisors, whose sum is σ = 53822434674960. Its totient is φ = 7312048128000.

The previous prime is 20122230023167. The next prime is 20122230023227. The reversal of 20122230023200 is 232003222102.

It can be written as a sum of positive squares in 24 ways, for example, as 2721351721104 + 17400878302096 = 1649652^2 + 4171436^2 .

It is a super-2 number, since 2×20122230023200² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2032338250 + ... + 2032348150.

Almost surely, 2^{20122230023200} is an apocalyptic number.

20122230023200 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 20122230023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26911217337480).

20122230023200 is an abundant number, since it is smaller than the sum of its proper divisors (33700204651760).

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

20122230023200 is a wasteful number, since it uses less digits than its factorization.

20122230023200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15120 (or 15107 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 20122230023200 its reverse (232003222102), we get a palindrome (20354233245302).

The spelling of 20122230023200 in words is "twenty trillion, one hundred twenty-two billion, two hundred thirty million, twenty-three thousand, two hundred".