11216129204401 has 9 divisors (see below), whose sum is σ = 12328513089753. Its totient is φ = 10196447604420.

The previous prime is 11216129204389. The next prime is 11216129204411. The reversal of 11216129204401 is 10440292161211.

The square root of 11216129204401 is 3349049.

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

It is not a de Polignac number, because 11216129204401 - 2⁵ = 11216129204369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11216129204411) 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, 36687310 + ... + 36991768.

Almost surely, 2^{11216129204401} is an apocalyptic number.

11216129204401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11216129204401 is the 3349049-th square number.

11216129204401 is the 1674525-th centered octagonal number.

It is an amenable number.

11216129204401 is a deficient number, since it is larger than the sum of its proper divisors (1112383885352).

11216129204401 is an frugal number, since it uses more digits than its factorization.

11216129204401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608940 (or 304470 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 34.

The spelling of 11216129204401 in words is "eleven trillion, two hundred sixteen billion, one hundred twenty-nine million, two hundred four thousand, four hundred one".