160008800121 has 9 divisors (see below), whose sum is σ = 231125555791. Its totient is φ = 106671733392.

The previous prime is 160008800113. The next prime is 160008800177. The reversal of 160008800121 is 121008800061.

The square root of 160008800121 is 400011.

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., 155997351225 + 4011448896 = 394965^2 + 63336^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 160008800121 - 2³ = 160008800113 is a prime.

It is a super-2 number, since 2×160008800121² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (160008800111) 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, 1133365 + ... + 1266701.

Almost surely, 2^160008800121 is an apocalyptic number.

160008800121 is the 400011-st square number.

160008800121 is the 200006-th centered octagonal number.

It is an amenable number.

160008800121 is a deficient number, since it is larger than the sum of its proper divisors (71116755670).

160008800121 is an frugal number, since it uses more digits than its factorization.

160008800121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266680 (or 133340 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The spelling of 160008800121 in words is "one hundred sixty billion, eight million, eight hundred thousand, one hundred twenty-one".