1001222323200 has 792 divisors, whose sum is σ = 3934374612480. Its totient is φ = 241255219200.

The previous prime is 1001222323163. The next prime is 1001222323217. The reversal of 1001222323200 is 23232221001.

1001222323200 is a `hidden beast` number, since 100 + 1 + 222 + 323 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

It is a super-2 number, since 2×1001222323200² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 453656497 + ... + 453658703.

Almost surely, 2^{1001222323200} is an apocalyptic number.

1001222323200 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 1001222323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1967187306240).

1001222323200 is an abundant number, since it is smaller than the sum of its proper divisors (2933152289280).

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

1001222323200 is a wasteful number, since it uses less digits than its factorization.

1001222323200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2433 (or 2407 counting only the distinct ones).

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

Adding to 1001222323200 its reverse (23232221001), we get a palindrome (1024454544201).

The spelling of 1001222323200 in words is "one trillion, one billion, two hundred twenty-two million, three hundred twenty-three thousand, two hundred".