2023022311200 has 432 divisors, whose sum is σ = 7888827020256. Its totient is φ = 483710054400.

The previous prime is 2023022311171. The next prime is 2023022311217. The reversal of 2023022311200 is 21132203202.

2023022311200 is a `hidden beast` number, since 2 + 0 + 230 + 2 + 231 + 1 + 200 = 666.

It is a super-2 number, since 2×2023022311200² (a number of 25 digits) contains 22 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5606647 + ... + 5956553.

It is an arithmetic number, because the mean of its divisors is an integer number (18261173658).

Almost surely, 2^{2023022311200} is an apocalyptic number.

2023022311200 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 2023022311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3944413510128).

2023022311200 is an abundant number, since it is smaller than the sum of its proper divisors (5865804709056).

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

2023022311200 is a wasteful number, since it uses less digits than its factorization.

2023022311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350017 (or 350001 counting only the distinct ones).

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

Adding to 2023022311200 its reverse (21132203202), we get a palindrome (2044154514402).

The spelling of 2023022311200 in words is "two trillion, twenty-three billion, twenty-two million, three hundred eleven thousand, two hundred".