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12232581201 = 34122892
BaseRepresentation
bin10110110010001111…
…00110000001010001
31011120111202111210000
423121013212001101
5200023020044301
65341454400213
7612064140021
oct133107460121
934514674700
1012232581201
115207a78345
122454800069
1311cc3b8939
14840881a81
154b8db3786
hex2d91e6051

12232581201 has 15 divisors (see below), whose sum is σ = 18274849131. Its totient is φ = 8154390528.

The previous prime is 12232581191. The next prime is 12232581209. The reversal of 12232581201 is 10218523221.

The square root of 12232581201 is 110601.

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., 9870621201 + 2361960000 = 99351^2 + 48600^2 .

It is not a de Polignac number, because 12232581201 - 25 = 12232581169 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12232581209) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 989265 + ... + 1001553.

Almost surely, 212232581201 is an apocalyptic number.

12232581201 is the 110601-st square number.

12232581201 is the 55301-st centered octagonal number.

It is an amenable number.

12232581201 is a deficient number, since it is larger than the sum of its proper divisors (6042267930).

12232581201 is an frugal number, since it uses more digits than its factorization.

12232581201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24590 (or 12292 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 12232581201 in words is "twelve billion, two hundred thirty-two million, five hundred eighty-one thousand, two hundred one".

Divisors: 1 3 9 27 81 12289 36867 110601 331803 995409 151019521 453058563 1359175689 4077527067 12232581201