1120903165600 has 144 divisors (see below), whose sum is σ = 2815196300280. Its totient is φ = 435545292800.

The previous prime is 1120903165583. The next prime is 1120903165609. The reversal of 1120903165600 is 65613090211.

It can be written as a sum of positive squares in 12 ways, for example, as 18831523984 + 1102071641616 = 137228^2 + 1049796^2 .

It is not an unprimeable number, because it can be changed into a prime (1120903165609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7569066 + ... + 7715734.

Almost surely, 2^{1120903165600} is an apocalyptic number.

1120903165600 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 1120903165600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407598150140).

1120903165600 is an abundant number, since it is smaller than the sum of its proper divisors (1694293134680).

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

1120903165600 is a wasteful number, since it uses less digits than its factorization.

1120903165600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146963 (or 146950 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 34.

The spelling of 1120903165600 in words is "one trillion, one hundred twenty billion, nine hundred three million, one hundred sixty-five thousand, six hundred".