1444311122100 has 144 divisors (see below), whose sum is σ = 5210024203776. Its totient is φ = 300116592000.

The previous prime is 1444311122087. The next prime is 1444311122101. The reversal of 1444311122100 is 12211134441.

It is a happy number.

It is a super-2 number, since 2×1444311122100² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1444311122101) 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 47 ways as a sum of consecutive naturals, for example, 31239046 + ... + 31285245.

Almost surely, 2^{1444311122100} is an apocalyptic number.

1444311122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1444311122100 is an abundant number, since it is smaller than the sum of its proper divisors (3765713081676).

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

1444311122100 is a wasteful number, since it uses less digits than its factorization.

1444311122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62524326 (or 62524319 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 1444311122100 its reverse (12211134441), we get a palindrome (1456522256541).

The spelling of 1444311122100 in words is "one trillion, four hundred forty-four billion, three hundred eleven million, one hundred twenty-two thousand, one hundred".