1127053341120 has 896 divisors, whose sum is σ = 4415637307392. Its totient is φ = 237713817600.

The previous prime is 1127053341109. The next prime is 1127053341187. The reversal of 1127053341120 is 211433507211.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 2295424075 + ... + 2295424565.

Almost surely, 2^{1127053341120} is an apocalyptic number.

1127053341120 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 1127053341120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2207818653696).

1127053341120 is an abundant number, since it is smaller than the sum of its proper divisors (3288583966272).

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

1127053341120 is a wasteful number, since it uses less digits than its factorization.

1127053341120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

Adding to 1127053341120 its reverse (211433507211), we get a palindrome (1338486848331).

The spelling of 1127053341120 in words is "one trillion, one hundred twenty-seven billion, fifty-three million, three hundred forty-one thousand, one hundred twenty".