1162107716121 has 45 divisors (see below), whose sum is σ = 1908327428623. Its totient is φ = 704243026080.

The previous prime is 1162107716083. The next prime is 1162107716131. The reversal of 1162107716121 is 1216177012611.

The square root of 1162107716121 is 1078011.

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

1162107716121 is a `hidden beast` number, since 1 + 1 + 621 + 0 + 7 + 7 + 1 + 6 + 1 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 35792477721 + 1126315238400 = 189189^2 + 1061280^2 .

It is not a de Polignac number, because 1162107716121 - 2⁹ = 1162107715609 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1162107716131) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 106717645 + ... + 106728533.

Almost surely, 2^{1162107716121} is an apocalyptic number.

1162107716121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1162107716121 is the 1078011-st square number.

1162107716121 is the 539006-th centered octagonal number.

It is an amenable number.

1162107716121 is a deficient number, since it is larger than the sum of its proper divisors (746219712502).

1162107716121 is an frugal number, since it uses more digits than its factorization.

1162107716121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21812 (or 10903 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 36.

Multiplying 1162107716121 by its sum of digits (36), we get a square (41835877780356 = 6468066²).

The spelling of 1162107716121 in words is "one trillion, one hundred sixty-two billion, one hundred seven million, seven hundred sixteen thousand, one hundred twenty-one".