1141134561121 has 9 divisors (see below), whose sum is σ = 1143574278483. Its totient is φ = 1138700044440.

The previous prime is 1141134561113. The next prime is 1141134561131. The reversal of 1141134561121 is 1211654311411.

The square root of 1141134561121 is 1068239.

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., 876918000721 + 264216560400 = 936439^2 + 514020^2 .

It is not a de Polignac number, because 1141134561121 - 2³ = 1141134561113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1141134561131) 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, 703968691 + ... + 703970311.

Almost surely, 2^{1141134561121} is an apocalyptic number.

1141134561121 is the 1068239-th square number.

1141134561121 is the 534120-th centered octagonal number.

It is an amenable number.

1141134561121 is a deficient number, since it is larger than the sum of its proper divisors (2439717362).

1141134561121 is an frugal number, since it uses more digits than its factorization.

1141134561121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4560 (or 2280 counting only the distinct ones).

The product of its digits is 2880, while the sum is 31.

Adding to 1141134561121 its reverse (1211654311411), we get a palindrome (2352788872532).

The spelling of 1141134561121 in words is "one trillion, one hundred forty-one billion, one hundred thirty-four million, five hundred sixty-one thousand, one hundred twenty-one".