1001303222112 has 72 divisors (see below), whose sum is σ = 3014953466616. Its totient is φ = 314134342656.

The previous prime is 1001303222099. The next prime is 1001303222119. The reversal of 1001303222112 is 2112223031001.

1001303222112 is a `hidden beast` number, since 1 + 0 + 0 + 130 + 322 + 211 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1001303222112² (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 not an unprimeable number, because it can be changed into a prime (1001303222119) 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 11 ways as a sum of consecutive naturals, for example, 102252378 + ... + 102262169.

It is an arithmetic number, because the mean of its divisors is an integer number (41874353703).

Almost surely, 2^{1001303222112} is an apocalyptic number.

1001303222112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1001303222112 is an abundant number, since it is smaller than the sum of its proper divisors (2013650244504).

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

1001303222112 is a wasteful number, since it uses less digits than its factorization.

1001303222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204514580 (or 204514569 counting only the distinct ones).

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

Adding to 1001303222112 its reverse (2112223031001), we get a palindrome (3113526253113).

The spelling of 1001303222112 in words is "one trillion, one billion, three hundred three million, two hundred twenty-two thousand, one hundred twelve".