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12080427921 = 32366372
BaseRepresentation
bin10110100000000110…
…01011001110010001
31011011220110022201100
423100003023032101
5144220042143141
65314421255013
7605235641322
oct132003131621
934156408640
1012080427921
11513a0a5331
122411864469
1311a6a14903
14828596449
154aa85b0b6
hex2d00cb391

12080427921 has 9 divisors (see below), whose sum is σ = 17449983291. Its totient is φ = 8053398792.

The previous prime is 12080427889. The next prime is 12080427971. The reversal of 12080427921 is 12972408021.

The square root of 12080427921 is 109911.

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

12080427921 is a `hidden beast` number, since 1 + 208 + 0 + 427 + 9 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4294836225 + 7785591696 = 65535^2 + 88236^2 .

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

It is not a de Polignac number, because 12080427921 - 25 = 12080427889 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12080427971) 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, 311415 + ... + 348051.

Almost surely, 212080427921 is an apocalyptic number.

12080427921 is the 109911-st square number.

12080427921 is the 54956-th centered octagonal number.

It is an amenable number.

12080427921 is a deficient number, since it is larger than the sum of its proper divisors (5369555370).

12080427921 is an frugal number, since it uses more digits than its factorization.

12080427921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73280 (or 36640 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

Multiplying 12080427921 by its sum of digits (36), we get a square (434895405156 = 6594662).

The spelling of 12080427921 in words is "twelve billion, eighty million, four hundred twenty-seven thousand, nine hundred twenty-one".

Divisors: 1 3 9 36637 109911 329733 1342269769 4026809307 12080427921