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212121303121212 = 2232571823271313907
BaseRepresentation
bin110000001110110001010110…
…111010111111110100111100
31000211001121011022221012002220
4300032301112322333310330
5210300343412044334322
62031051103102245340
762452154431002612
oct6016612672776474
91024047138835086
10212121303121212
1161652159691551
121b95a643286850
139148c50b24664
143a54a23a3d6b2
15197cb6657055c
hexc0ec56ebfd3c

212121303121212 has 96 divisors (see below), whose sum is σ = 497367148787712. Its totient is φ = 70362334396416.

The previous prime is 212121303121193. The next prime is 212121303121219.

212121303121212 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2121213031212122 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212121303121219) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15252837163 + ... + 15252851069.

It is an arithmetic number, because the mean of its divisors is an integer number (5180907799872).

Almost surely, 2212121303121212 is an apocalyptic number.

It is an amenable number.

212121303121212 is an abundant number, since it is smaller than the sum of its proper divisors (285245845666500).

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

212121303121212 is a wasteful number, since it uses less digits than its factorization.

212121303121212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18707 (or 18705 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

It can be divided in two parts, 21212130 and 3121212, that added together give a palindrome (24333342).

The spelling of 212121303121212 in words is "two hundred twelve trillion, one hundred twenty-one billion, three hundred three million, one hundred twenty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 257 514 771 1028 1542 1823 2713 3084 3646 5426 5469 7292 8139 10852 10938 13907 16278 21876 27814 32556 41721 55628 83442 166884 468511 697241 937022 1394482 1405533 1874044 2091723 2788964 2811066 3574099 4183446 4945799 5622132 7148198 8366892 9891598 10722297 14296396 14837397 19783196 21444594 25352461 29674794 37729691 42889188 50704922 59349588 75459382 76057383 101409844 113189073 150918764 152114766 226378146 304229532 452756292 1271070343 2542140686 3813211029 5084281372 6515582477 7626422058 9696530587 13031164954 15252844116 19393061174 19546747431 26062329908 29089591761 38786122348 39093494862 58179183522 68781226693 78186989724 116358367044 137562453386 206343680079 275124906772 412687360158 825374720316 17676775260101 35353550520202 53030325780303 70707101040404 106060651560606 212121303121212