200231111232000 has 960 divisors, whose sum is σ = 735540300443520. Its totient is φ = 52338130944000.

The previous prime is 200231111231993. The next prime is 200231111232007. The reversal of 200231111232000 is 232111132002.

200231111232000 is a `hidden beast` number, since 2 + 0 + 0 + 231 + 1 + 112 + 320 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (200231111231993) and next prime (200231111232007).

It is a tau number, because it is divible by the number of its divisors (960).

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

It is not an unprimeable number, because it can be changed into a prime (200231111232007) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 11996343655 + ... + 11996360345.

It is an arithmetic number, because the mean of its divisors is an integer number (766187812962).

Almost surely, 2^{200231111232000} is an apocalyptic number.

200231111232000 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 200231111232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367770150221760).

200231111232000 is an abundant number, since it is smaller than the sum of its proper divisors (535309189211520).

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

200231111232000 is a wasteful number, since it uses less digits than its factorization.

200231111232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17142 (or 17113 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 200231111232000 its reverse (232111132002), we get a palindrome (200463222364002).

The spelling of 200231111232000 in words is "two hundred trillion, two hundred thirty-one billion, one hundred eleven million, two hundred thirty-two thousand".