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12011011012 = 227111311292657
BaseRepresentation
bin10110010111110100…
…10111101111000100
31011000001211120121201
423023322113233010
5144044304323022
65303501352244
7603433623550
oct131372275704
934001746551
1012011011012
1151039a2390
1223b2568684
13119551b610
1481d286860
154a46e8127
hex2cbe97bc4

12011011012 has 96 divisors (see below), whose sum is σ = 28257304320. Its totient is φ = 4314193920.

The previous prime is 12011011009. The next prime is 12011011021. The reversal of 12011011012 is 21011011021.

It is a self number, because there is not a number n which added to its sum of digits gives 12011011012.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4519188 + ... + 4521844.

It is an arithmetic number, because the mean of its divisors is an integer number (294346920).

Almost surely, 212011011012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12011011012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14128652160).

12011011012 is an abundant number, since it is smaller than the sum of its proper divisors (16246293308).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12011011012 is a wasteful number, since it uses less digits than its factorization.

12011011012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3821 (or 3819 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 12011011012 its reverse (21011011021), we get a palindrome (33022022033).

Subtracting 12011011012 from its reverse (21011011021), we obtain a palindrome (9000000009).

The spelling of 12011011012 in words is "twelve billion, eleven million, eleven thousand, twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 1001 1129 2002 2258 2657 4004 4516 5314 7903 10628 12419 14677 15806 18599 24838 29227 29354 31612 34541 37198 49676 58454 58708 69082 74396 86933 102739 116908 138164 161447 173866 204589 205478 241787 322894 347732 379951 409178 410956 483574 645788 759902 818356 967148 1130129 1519804 2260258 2659657 2999753 4520516 5319314 5999506 10638628 11999012 20998271 32997283 38996789 41996542 65994566 77993578 83993084 131989132 155987156 230980981 272977523 428964679 461961962 545955046 857929358 923923924 1091910092 1715858716 3002752753 6005505506 12011011012