2020112323200 has 288 divisors, whose sum is σ = 7212515897340. Its totient is φ = 538375864320.

The previous prime is 2020112323189. The next prime is 2020112323213. The reversal of 2020112323200 is 23232110202.

2020112323200 is a `hidden beast` number, since 20 + 201 + 123 + 2 + 320 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 176621829696 + 1843490493504 = 420264^2 + 1357752^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 50466394 + ... + 50506406.

Almost surely, 2^{2020112323200} is an apocalyptic number.

2020112323200 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 2020112323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3606257948670).

2020112323200 is an abundant number, since it is smaller than the sum of its proper divisors (5192403574140).

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

2020112323200 is a wasteful number, since it uses less digits than its factorization.

2020112323200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41796 (or 41776 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2020112323200 its reverse (23232110202), we get a palindrome (2043344433402).

The spelling of 2020112323200 in words is "two trillion, twenty billion, one hundred twelve million, three hundred twenty-three thousand, two hundred".