1120765201128 has 128 divisors (see below), whose sum is σ = 3189636576000. Its totient is φ = 364528926720.

The previous prime is 1120765201121. The next prime is 1120765201163. The reversal of 1120765201128 is 8211025670211.

It is a happy number.

1120765201128 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 7 + 6 + 520 + 1 + 128 = 666.

It is a super-2 number, since 2×1120765201128² (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1120765201092 and 1120765201101.

It is not an unprimeable number, because it can be changed into a prime (1120765201121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1110888 + ... + 1864296.

It is an arithmetic number, because the mean of its divisors is an integer number (24919035750).

Almost surely, 2^{1120765201128} is an apocalyptic number.

1120765201128 is a gapful number since it is divisible by the number (18) 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 1120765201128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1594818288000).

1120765201128 is an abundant number, since it is smaller than the sum of its proper divisors (2068871374872).

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

1120765201128 is a wasteful number, since it uses less digits than its factorization.

1120765201128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753592 (or 753582 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The spelling of 1120765201128 in words is "one trillion, one hundred twenty billion, seven hundred sixty-five million, two hundred one thousand, one hundred twenty-eight".