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122113100120022 = 2321112745131076039
BaseRepresentation
bin11011110000111110101011…
…111101000111111111010110
3121000100220020220110021110200
4123300332223331013333112
5112001200112112320042
61111413552254001330
734502244312640404
oct3360765375077726
9530326226407420
10122113100120022
11359aa969599170
12118424061a6246
13531a2a652878b
14222243c72c474
15e1b696999c4c
hex6f0fabf47fd6

122113100120022 has 96 divisors (see below), whose sum is σ = 290968378122240. Its totient is φ = 36704430927360.

The previous prime is 122113100119963. The next prime is 122113100120057. The reversal of 122113100120022 is 220021001311221.

122113100120022 is a `hidden beast` number, since 1 + 2 + 211 + 310 + 0 + 120 + 0 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 122113100119977 and 122113100120004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112945879 + ... + 114021917.

It is an arithmetic number, because the mean of its divisors is an integer number (3030920605440).

Almost surely, 2122113100120022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122113100120022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145484189061120).

122113100120022 is an abundant number, since it is smaller than the sum of its proper divisors (168855278002218).

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

122113100120022 is a wasteful number, since it uses less digits than its factorization.

122113100120022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080698 (or 1080695 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 122113100120022 its reverse (220021001311221), we get a palindrome (342134101431243).

The spelling of 122113100120022 in words is "one hundred twenty-two trillion, one hundred thirteen billion, one hundred million, one hundred twenty thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 127 198 254 381 762 1143 1397 2286 2794 4191 4513 8382 9026 12573 13539 25146 27078 40617 49643 81234 99286 148929 297858 446787 573151 893574 1076039 1146302 1719453 2152078 3228117 3438906 5158359 6304661 6456234 9684351 10316718 11836429 12609322 18913983 19368702 23672858 35509287 37827966 56741949 71018574 106527861 113483898 136656953 213055722 273313906 409970859 819941718 1229912577 1503226483 2459825154 3006452966 4509679449 4856164007 9019358898 9712328014 13529038347 14568492021 27058076694 29136984042 43705476063 53417804077 87410952126 106835608154 160253412231 320506824462 480760236693 616732828889 961520473386 1233465657778 1850198486667 3700396973334 5550595460001 6784061117779 11101190920002 13568122235558 20352183353337 40704366706674 61056550060011 122113100120022