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212120101121110 = 2571311319971032961
BaseRepresentation
bin110000001110110000001111…
…010001101110110001010110
31000211001111001120011020221121
4300032300033101232301112
5210300333431341333420
62031050343523234154
762452112564114260
oct6016601721566126
91024044046136847
10212120101121110
11616516a213a036
121b95a36881895a
139148abbaac9b0
143a5494c14cb30
15197cae5c8c2aa
hexc0ec0f46ec56

212120101121110 has 128 divisors (see below), whose sum is σ = 474324118458624. Its totient is φ = 66505038888960.

The previous prime is 212120101121059. The next prime is 212120101121113. The reversal of 212120101121110 is 11121101021212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212120101121113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 204835030 + ... + 205867990.

It is an arithmetic number, because the mean of its divisors is an integer number (3705657175458).

Almost surely, 2212120101121110 is an apocalyptic number.

212120101121110 is an abundant number, since it is smaller than the sum of its proper divisors (262204017337514).

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

212120101121110 is a wasteful number, since it uses less digits than its factorization.

212120101121110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035098.

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 212120101121110 its reverse (11121101021212), we get a palindrome (223241202142322).

The spelling of 212120101121110 in words is "two hundred twelve trillion, one hundred twenty billion, one hundred one million, one hundred twenty-one thousand, one hundred ten".

Divisors: 1 2 5 7 10 13 14 26 35 65 70 91 113 130 182 226 455 565 791 910 1130 1469 1582 1997 2938 3955 3994 7345 7910 9985 10283 13979 14690 19970 20566 25961 27958 51415 51922 69895 102830 129805 139790 181727 225661 259610 363454 451322 908635 1032961 1128305 1579627 1817270 2065922 2256610 2933593 3159254 5164805 5867186 7230727 7898135 10329610 13428493 14461454 14667965 15796270 20535151 26856986 29335930 36153635 41070302 67142465 72307270 93999451 102675755 116724593 134284930 187998902 205351510 233449186 469997255 583622965 817072151 939994510 1167245930 1517419709 1634144302 2062823117 3034839418 4085360755 4125646234 7587098545 8170721510 10314115585 10621937963 14439761819 15174197090 20628231170 21243875926 26816700521 28879523638 53109689815 53633401042 72198809095 106219379630 134083502605 144397618190 187716903647 233099012221 268167005210 375433807294 466198024442 938584518235 1165495061105 1631693085547 1877169036470 2330990122210 3030287158873 3263386171094 6060574317746 8158465427735 15151435794365 16316930855470 21212010112111 30302871588730 42424020224222 106060050560555 212120101121110