1334443122100 has 72 divisors (see below), whose sum is σ = 3172549318848. Its totient is φ = 483169324800.

The previous prime is 1334443122053. The next prime is 1334443122119. The reversal of 1334443122100 is 12213444331.

It is a happy number.

It is a super-2 number, since 2×1334443122100² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2346984 + ... + 2859583.

It is an arithmetic number, because the mean of its divisors is an integer number (44063184984).

Almost surely, 2^{1334443122100} is an apocalyptic number.

1334443122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1334443122100 is an abundant number, since it is smaller than the sum of its proper divisors (1838106196748).

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

1334443122100 is a wasteful number, since it uses less digits than its factorization.

1334443122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5206825 (or 5206818 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 1334443122100 its reverse (12213444331), we get a palindrome (1346656566431).

The spelling of 1334443122100 in words is "one trillion, three hundred thirty-four billion, four hundred forty-three million, one hundred twenty-two thousand, one hundred".