1110132720000 has 960 divisors, whose sum is σ = 4265039750400. Its totient is φ = 276401664000.

The previous prime is 1110132719959. The next prime is 1110132720013. The reversal of 1110132720000 is 272310111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 712079221 + ... + 712080779.

It is an arithmetic number, because the mean of its divisors is an integer number (4442749740).

Almost surely, 2^{1110132720000} is an apocalyptic number.

1110132720000 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 1110132720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2132519875200).

1110132720000 is an abundant number, since it is smaller than the sum of its proper divisors (3154907030400).

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

1110132720000 is a wasteful number, since it uses less digits than its factorization.

1110132720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1665 (or 1635 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The spelling of 1110132720000 in words is "one trillion, one hundred ten billion, one hundred thirty-two million, seven hundred twenty thousand".