1110054129072 has 320 divisors, whose sum is σ = 3466642882560. Its totient is φ = 299673319680.

The previous prime is 1110054129059. The next prime is 1110054129091. The reversal of 1110054129072 is 2709214500111.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 430419079 + ... + 430421657.

It is an arithmetic number, because the mean of its divisors is an integer number (10833259008).

Almost surely, 2^{1110054129072} is an apocalyptic number.

1110054129072 is a gapful number since it is divisible by the number (12) 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 1110054129072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1733321441280).

1110054129072 is an abundant number, since it is smaller than the sum of its proper divisors (2356588753488).

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

1110054129072 is an equidigital number, since it uses as much as digits as its factorization.

1110054129072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2733 (or 2665 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 33.

Adding to 1110054129072 its reverse (2709214500111), we get a palindrome (3819268629183).

The spelling of 1110054129072 in words is "one trillion, one hundred ten billion, fifty-four million, one hundred twenty-nine thousand, seventy-two".