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12267556081 = 112100692
BaseRepresentation
bin10110110110011010…
…00000110011110001
31011122221120102021221
423123031000303301
5200110443243311
65345144145041
7613000335424
oct133315006361
934587512257
1012267556081
115225796500
122464468181
131206713131
148453879bb
154bbec1671
hex2db340cf1

12267556081 has 9 divisors (see below), whose sum is σ = 13485512523. Its totient is φ = 11151216120.

The previous prime is 12267556039. The next prime is 12267556109. The reversal of 12267556081 is 18065576221.

The square root of 12267556081 is 110759.

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

12267556081 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3109066081 + 9158490000 = 55759^2 + 95700^2 .

It is not a de Polignac number, because 12267556081 - 215 = 12267523313 is a prime.

It is a super-2 number, since 2×122675560812 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12267556181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1213315 + ... + 1223383.

Almost surely, 212267556081 is an apocalyptic number.

12267556081 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12267556081 is the 110759-th square number.

12267556081 is the 55380-th centered octagonal number.

It is an amenable number.

12267556081 is a deficient number, since it is larger than the sum of its proper divisors (1217956442).

12267556081 is an frugal number, since it uses more digits than its factorization.

12267556081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20160 (or 10080 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 43.

The spelling of 12267556081 in words is "twelve billion, two hundred sixty-seven million, five hundred fifty-six thousand, eighty-one".

Divisors: 1 11 121 10069 110759 1218349 101384761 1115232371 12267556081