11120017339561 has 81 divisors (see below), whose sum is σ = 13023319463973. Its totient is φ = 9488600559360.

The previous prime is 11120017339537. The next prime is 11120017339567. The reversal of 11120017339561 is 16593371002111.

The square root of 11120017339561 is 3334669.

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

11120017339561 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 100405963161 + 11019611376400 = 316869^2 + 3319580^2 .

It is not a de Polignac number, because 11120017339561 - 2⁷ = 11120017339433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11120017339567) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 58219985976 + ... + 58219986166.

Almost surely, 2^{11120017339561} is an apocalyptic number.

11120017339561 is the 3334669-th square number.

11120017339561 is the 1667335-th centered octagonal number.

It is an amenable number.

11120017339561 is a deficient number, since it is larger than the sum of its proper divisors (1903302124412).

11120017339561 is an frugal number, since it uses more digits than its factorization.

11120017339561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 40.

The spelling of 11120017339561 in words is "eleven trillion, one hundred twenty billion, seventeen million, three hundred thirty-nine thousand, five hundred sixty-one".