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121222112121201 = 37133789140995701
BaseRepresentation
bin11011100100000000111000…
…111011101001000101110001
3120220012201110102100021202210
4123210000320323221011301
5111342100341200334301
61105452400341002333
734351002641623650
oct3344007073510561
9526181412307683
10121222112121201
1135697011047233
12117197a80b33a9
135284271b62360
1421d12781a3197
15e033ea71aad6
hex6e4038ee9171

121222112121201 has 128 divisors (see below), whose sum is σ = 206749394611200. Its totient is φ = 61469864755200.

The previous prime is 121222112121179. The next prime is 121222112121221. The reversal of 121222112121201 is 102121211222121.

It is not a de Polignac number, because 121222112121201 - 25 = 121222112121169 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (121222112121221) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1266627651 + ... + 1266723351.

It is an arithmetic number, because the mean of its divisors is an integer number (1615229645400).

Almost surely, 2121222112121201 is an apocalyptic number.

It is an amenable number.

121222112121201 is a deficient number, since it is larger than the sum of its proper divisors (85527282489999).

121222112121201 is a wasteful number, since it uses less digits than its factorization.

121222112121201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97259.

The product of its (nonzero) digits is 128, while the sum is 21.

Adding to 121222112121201 its reverse (102121211222121), we get a palindrome (223343323343322).

The spelling of 121222112121201 in words is "one hundred twenty-one trillion, two hundred twenty-two billion, one hundred twelve million, one hundred twenty-one thousand, two hundred one".

Divisors: 1 3 7 13 21 37 39 89 91 111 259 267 273 481 623 777 1157 1409 1443 1869 3293 3367 3471 4227 8099 9863 9879 10101 18317 23051 24297 29589 42809 52133 54951 69153 95701 125401 128219 128427 156399 287103 299663 364931 376203 384657 669907 677729 877807 898989 1094793 1244113 1630213 2009721 2033187 2633421 3540937 3732339 4639837 4744103 4890639 8517389 8708791 10622811 11411491 13919511 14232309 24786559 25552167 26126373 32478859 34234473 46032181 59621723 60317881 74359677 97436577 110726057 134842709 138096543 178865169 180953643 315143393 322225267 332178171 404528127 422225167 775082399 943898963 945430179 966675801 1266675501 1752955217 2206003751 2325247197 2831696889 4096864109 4989180233 5258865651 6618011253 12001001101 12270686519 12290592327 14967540699 28678048763 34924261631 36003003303 36812059557 64859343029 84007007707 86034146289 104772784893 156013014313 194578029087 252021023121 444037040737 454015401203 468039042939 1092091100191 1332111122211 1362046203609 3108259285159 3276273300573 5772481529581 9324777855477 17317444588743 40407370707067 121222112121201