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12399045201 = 32371172
BaseRepresentation
bin10111000110000101…
…00110101001010001
31012000002222202110100
423203002212221101
5200343123421301
65410202323013
7616155100554
oct134302465121
935002882410
1012399045201
115292a351a4
1224a04b9469
131227a3064a
14858a1469b
154c87e6286
hex2e30a6a51

12399045201 has 9 divisors (see below), whose sum is σ = 17910214491. Its totient is φ = 8265807432.

The previous prime is 12399045199. The next prime is 12399045209. The reversal of 12399045201 is 10254099321.

The square root of 12399045201 is 111351.

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

12399045201 is a `hidden beast` number, since 12 + 39 + 90 + 4 + 520 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7261596225 + 5137448976 = 85215^2 + 71676^2 .

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

It is not a de Polignac number, because 12399045201 - 21 = 12399045199 is a prime.

It is a super-2 number, since 2×123990452012 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12399045209) 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, 315495 + ... + 352611.

Almost surely, 212399045201 is an apocalyptic number.

12399045201 is the 111351-st square number.

12399045201 is the 55676-th centered octagonal number.

It is an amenable number.

12399045201 is a deficient number, since it is larger than the sum of its proper divisors (5511169290).

12399045201 is an frugal number, since it uses more digits than its factorization.

12399045201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74240 (or 37120 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

Multiplying 12399045201 by its sum of digits (36), we get a square (446365627236 = 6681062).

The spelling of 12399045201 in words is "twelve billion, three hundred ninety-nine million, forty-five thousand, two hundred one".

Divisors: 1 3 9 37117 111351 334053 1377671689 4133015067 12399045201