1121120968900 has 27 divisors (see below), whose sum is σ = 2432855479341. Its totient is φ = 448444152240.

The previous prime is 1121120968867. The next prime is 1121120968909. The reversal of 1121120968900 is 98690211211.

The square root of 1121120968900 is 1058830.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 403603548804 + 717517420096 = 635298^2 + 847064^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1121120968909) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10535359 + ... + 10641241.

Almost surely, 2^{1121120968900} is an apocalyptic number.

1121120968900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1121120968900 is the 1058830-th square number.

It is an amenable number.

1121120968900 is an abundant number, since it is smaller than the sum of its proper divisors (1311734510441).

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

1121120968900 is an frugal number, since it uses more digits than its factorization.

1121120968900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211780 (or 105890 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 40.

The spelling of 1121120968900 in words is "one trillion, one hundred twenty-one billion, one hundred twenty million, nine hundred sixty-eight thousand, nine hundred".