1128085125120 has 384 divisors, whose sum is σ = 4014734068800. Its totient is φ = 300466962432.

The previous prime is 1128085125109. The next prime is 1128085125169. The reversal of 1128085125120 is 215215808211.

1128085125120 is a `hidden beast` number, since 1 + 12 + 8 + 0 + 8 + 512 + 5 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 302190774 + ... + 302194506.

Almost surely, 2^{1128085125120} is an apocalyptic number.

1128085125120 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 1128085125120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2007367034400).

1128085125120 is an abundant number, since it is smaller than the sum of its proper divisors (2886648943680).

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

1128085125120 is a wasteful number, since it uses less digits than its factorization.

1128085125120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4862 (or 4836 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 36.

The spelling of 1128085125120 in words is "one trillion, one hundred twenty-eight billion, eighty-five million, one hundred twenty-five thousand, one hundred twenty".