1125735045120 has 960 divisors, whose sum is σ = 4724881761600. Its totient is φ = 250981908480.

The previous prime is 1125735045107. The next prime is 1125735045173. The reversal of 1125735045120 is 215405375211.

1125735045120 is a `hidden beast` number, since 1 + 1 + 25 + 7 + 3 + 504 + 5 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×1125735045120² (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 238046916 + ... + 238051644.

It is an arithmetic number, because the mean of its divisors is an integer number (4921751835).

Almost surely, 2^{1125735045120} is an apocalyptic number.

1125735045120 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 1125735045120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2362440880800).

1125735045120 is an abundant number, since it is smaller than the sum of its proper divisors (3599146716480).

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

1125735045120 is an equidigital number, since it uses as much as digits as its factorization.

1125735045120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4816 (or 4787 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The spelling of 1125735045120 in words is "one trillion, one hundred twenty-five billion, seven hundred thirty-five million, forty-five thousand, one hundred twenty".