1125134120000 has 560 divisors, whose sum is σ = 3239368070400. Its totient is φ = 383078400000.

The previous prime is 1125134119931. The next prime is 1125134120003. The reversal of 1125134120000 is 214315211.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1125134120003) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 2610519785 + ... + 2610520215.

It is an arithmetic number, because the mean of its divisors is an integer number (5784585840).

Almost surely, 2^{1125134120000} is an apocalyptic number.

1125134120000 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 1125134120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1619684035200).

1125134120000 is an abundant number, since it is smaller than the sum of its proper divisors (2114233950400).

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

1125134120000 is a wasteful number, since it uses less digits than its factorization.

1125134120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 1125134120000 its reverse (214315211), we get a palindrome (1125348435211).

The spelling of 1125134120000 in words is "one trillion, one hundred twenty-five billion, one hundred thirty-four million, one hundred twenty thousand".