1121756378752 has 256 divisors, whose sum is σ = 2429675740800. Its totient is φ = 514263859200.

The previous prime is 1121756378749. The next prime is 1121756378753. The reversal of 1121756378752 is 2578736571211.

It is a hoax number, since the sum of its digits (55) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1121756378693 and 1121756378702.

It is not an unprimeable number, because it can be changed into a prime (1121756378753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3828519918 + ... + 3828520210.

Almost surely, 2^{1121756378752} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1121756378752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1214837870400).

1121756378752 is an abundant number, since it is smaller than the sum of its proper divisors (1307919362048).

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

1121756378752 is a wasteful number, since it uses less digits than its factorization.

1121756378752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 703 counting only the distinct ones).

The product of its digits is 4939200, while the sum is 55.

The spelling of 1121756378752 in words is "one trillion, one hundred twenty-one billion, seven hundred fifty-six million, three hundred seventy-eight thousand, seven hundred fifty-two".