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122002112112012 = 2232112361721709967
BaseRepresentation
bin11011101111010111010100…
…100011011110010110001100
3120222222021202221221021220100
4123233113110203132112030
5111442340311200041022
61111250555131451100
734461235033303206
oct3357272443362614
9528867687837810
10122002112112012
1135967894776010
12118249b05b6a90
13530c99942cb62
14221ad1023d776
15e1884cc8e1ac
hex6ef5d48de58c

122002112112012 has 144 divisors (see below), whose sum is σ = 351626451950592. Its totient is φ = 35305615107840.

The previous prime is 122002112111963. The next prime is 122002112112043. The reversal of 122002112112012 is 210211211200221.

122002112112012 is a `hidden beast` number, since 1 + 220 + 0 + 211 + 211 + 20 + 1 + 2 = 666.

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

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, 5235348 + ... + 16474619.

It is an arithmetic number, because the mean of its divisors is an integer number (2441850360768).

Almost surely, 2122002112112012 is an apocalyptic number.

122002112112012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122002112112012 is an abundant number, since it is smaller than the sum of its proper divisors (229624339838580).

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

122002112112012 is a wasteful number, since it uses less digits than its factorization.

122002112112012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21710628 (or 21710623 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 122002112112012 its reverse (210211211200221), we get a palindrome (332213323312233).

The spelling of 122002112112012 in words is "one hundred twenty-two trillion, two billion, one hundred twelve million, one hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 33 36 44 46 66 69 92 99 132 138 198 207 253 276 396 414 506 617 759 828 1012 1234 1518 1851 2277 2468 3036 3702 4554 5553 6787 7404 9108 11106 13574 14191 20361 22212 27148 28382 40722 42573 56764 61083 81444 85146 122166 127719 156101 170292 244332 255438 312202 468303 510876 624404 936606 1404909 1873212 2809818 5619636 21709967 43419934 65129901 86839868 130259802 195389703 238809637 260519604 390779406 477619274 499329241 716428911 781558812 955238548 998658482 1432857822 1497987723 1997316964 2149286733 2865715644 2995975446 4298573466 4493963169 5492621651 5991950892 8597146932 8987926338 10985243302 13395049639 16477864953 17975852676 21970486604 26790099278 32955729906 40185148917 49433594859 53580198556 65911459812 80370297834 98867189718 120555446751 147345546029 160740595668 197734379436 241110893502 294691092058 308086141697 442036638087 482221787004 589382184116 616172283394 884073276174 924258425091 1232344566788 1326109914261 1768146552348 1848516850182 2652219828522 2772775275273 3388947558667 3697033700364 5304439657044 5545550550546 6777895117334 10166842676001 11091101101092 13555790234668 20333685352002 30500528028003 40667370704004 61001056056006 122002112112012