1000233222200 has 96 divisors (see below), whose sum is σ = 2449617024000. Its totient is φ = 378775958400.

The previous prime is 1000233222179. The next prime is 1000233222253. The reversal of 1000233222200 is 22223320001.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 5500331 + ... + 5679269.

It is an arithmetic number, because the mean of its divisors is an integer number (25516844000).

Almost surely, 2^{1000233222200} is an apocalyptic number.

1000233222200 is a gapful number since it is divisible by the number (10) 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 1000233222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1224808512000).

1000233222200 is an abundant number, since it is smaller than the sum of its proper divisors (1449383801800).

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

1000233222200 is a wasteful number, since it uses less digits than its factorization.

1000233222200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180445 (or 180436 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 1000233222200 its reverse (22223320001), we get a palindrome (1022456542201).

The spelling of 1000233222200 in words is "one trillion, two hundred thirty-three million, two hundred twenty-two thousand, two hundred".