1128142080000 has 1920 divisors, whose sum is σ = 4699555660800. Its totient is φ = 268738560000.

The previous prime is 1128142079983. The next prime is 1128142080001. The reversal of 1128142080000 is 802418211.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1128142080001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 36391679985 + ... + 36391680015.

It is an arithmetic number, because the mean of its divisors is an integer number (2447685240).

Almost surely, 2^{1128142080000} is an apocalyptic number.

1128142080000 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 1128142080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2349777830400).

1128142080000 is an abundant number, since it is smaller than the sum of its proper divisors (3571413580800).

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

1128142080000 is an frugal number, since it uses more digits than its factorization.

1128142080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

Adding to 1128142080000 its reverse (802418211), we get a palindrome (1128944498211).

The spelling of 1128142080000 in words is "one trillion, one hundred twenty-eight billion, one hundred forty-two million, eighty thousand".