1144413012000 has 96 divisors (see below), whose sum is σ = 3749097066624. Its totient is φ = 305176800000.

The previous prime is 1144413011983. The next prime is 1144413012011. The reversal of 1144413012000 is 2103144411.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1144413012000² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47671876 + ... + 47695875.

It is an arithmetic number, because the mean of its divisors is an integer number (39053094444).

Almost surely, 2^{1144413012000} is an apocalyptic number.

1144413012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1144413012000 is an abundant number, since it is smaller than the sum of its proper divisors (2604684054624).

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

1144413012000 is an equidigital number, since it uses as much as digits as its factorization.

1144413012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95367779 (or 95367761 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 1144413012000 its reverse (2103144411), we get a palindrome (1146516156411).

The spelling of 1144413012000 in words is "one trillion, one hundred forty-four billion, four hundred thirteen million, twelve thousand".