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12122000020221 = 37137113916672699
BaseRepresentation
bin1011000001100101111110…
…0000010101001011111101
31120220212000000122021020220
42300121133200111023331
53042101324001121341
641440434145531553
72360533314042450
oct260313740251375
946825000567226
1012122000020221
113953a02a9a7a3
1214393a9343bb9
1369c13b05a570
142dc9ca7c7497
151604c378ea66
hexb065f8152fd

12122000020221 has 128 divisors (see below), whose sum is σ = 20337537024000. Its totient is φ = 6252541182720.

The previous prime is 12122000020139. The next prime is 12122000020241. The reversal of 12122000020221 is 12202000022121.

It is not a de Polignac number, because 12122000020221 - 215 = 12121999987453 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12122000020221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122000020241) 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 127 ways as a sum of consecutive naturals, for example, 4491291730 + ... + 4491294428.

It is an arithmetic number, because the mean of its divisors is an integer number (158887008000).

Almost surely, 212122000020221 is an apocalyptic number.

It is an amenable number.

12122000020221 is a deficient number, since it is larger than the sum of its proper divisors (8215537003779).

12122000020221 is a wasteful number, since it uses less digits than its factorization.

12122000020221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4599.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 12122000020221 its reverse (12202000022121), we get a palindrome (24324000042342).

The spelling of 12122000020221 in words is "twelve trillion, one hundred twenty-two billion, twenty thousand, two hundred twenty-one".

Divisors: 1 3 7 13 21 39 71 91 139 213 273 417 497 923 973 1491 1667 1807 2699 2769 2919 5001 5421 6461 8097 9869 11669 12649 18893 19383 21671 29607 35007 35087 37947 56679 65013 69083 105261 118357 128297 151697 191629 207249 231713 245609 355071 375161 384891 455091 574887 695139 736827 828499 898079 1125483 1341403 1538641 1621991 2485497 2491177 2626127 2694237 3012269 4024209 4499233 4615923 4865973 4877093 7473531 7878381 9036807 10770487 13497699 14631279 16451623 17438239 21085883 26636431 31494631 32311461 34139651 49354869 52314717 58490029 63257649 79909293 94483893 102418953 115161361 175470087 186455017 213871099 319445543 345484083 346273603 409430203 559365051 625393387 641613297 958336629 1038820809 1228290609 1497097693 1876180161 2236118801 2423915221 4152792059 4377753709 4491293079 6708356403 7271745663 8130114031 12458376177 13133261127 24390342093 29069544413 44402930477 56910798217 87208633239 133208791431 170732394651 310820513339 577238096201 932461540017 1731714288603 4040666673407 12122000020221