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12801121069 = 112892934057
BaseRepresentation
bin10111110110000000…
…11001101100101101
31020001010120022212011
423323000121230231
5202204041333234
65514124241221
7632136506452
oct137300315455
936033508764
1012801121069
115479998800
1225930a0211
13129011aa69
14896199829
154edc69b64
hex2fb019b2d

12801121069 has 24 divisors (see below), whose sum is σ = 14280832440. Its totient is φ = 11464527360.

The previous prime is 12801121061. The next prime is 12801121171. The reversal of 12801121069 is 96012110821.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3037112100 + 9764008969 = 55110^2 + 98813^2 .

It is not a de Polignac number, because 12801121069 - 23 = 12801121061 is a prime.

It is a super-2 number, since 2×128011210692 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12801121069.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12801121061) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3153289 + ... + 3157345.

It is an arithmetic number, because the mean of its divisors is an integer number (595034685).

Almost surely, 212801121069 is an apocalyptic number.

It is an amenable number.

12801121069 is a deficient number, since it is larger than the sum of its proper divisors (1479711371).

12801121069 is a wasteful number, since it uses less digits than its factorization.

12801121069 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4461 (or 4450 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 31.

The spelling of 12801121069 in words is "twelve billion, eight hundred one million, one hundred twenty-one thousand, sixty-nine".

Divisors: 1 11 89 121 293 979 3223 4057 10769 26077 35453 44627 286847 361073 490897 1188701 3155317 3971803 13075711 43689833 105794389 143832821 1163738279 12801121069