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122111068212 = 2235743417371
BaseRepresentation
bin111000110111001100…
…0110000100000110100
3102200012010111222200000
41301232120300200310
54000040413140322
6132032543551300
711552011645140
oct1615630604064
9380163458600
10122111068212
11478725729a1
121b7ba8bb530
13b69067c063
145ca5874220
15329a4a73ac
hex1c6e630834

122111068212 has 144 divisors (see below), whose sum is σ = 374339277312. Its totient is φ = 34077425760.

The previous prime is 122111068199. The next prime is 122111068223. The reversal of 122111068212 is 212860111221.

It is a super-2 number, since 2×1221110682122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 83887 + ... + 501257.

Almost surely, 2122111068212 is an apocalyptic number.

122111068212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122111068212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187169638656).

122111068212 is an abundant number, since it is smaller than the sum of its proper divisors (252228209100).

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

122111068212 is a wasteful number, since it uses less digits than its factorization.

122111068212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417440 (or 417426 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

Adding to 122111068212 its reverse (212860111221), we get a palindrome (334971179433).

The spelling of 122111068212 in words is "one hundred twenty-two billion, one hundred eleven million, sixty-eight thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 43 54 63 81 84 86 108 126 129 162 172 189 243 252 258 301 324 378 387 486 516 567 602 756 774 903 972 1134 1161 1204 1548 1701 1806 2268 2322 2709 3402 3483 3612 4644 5418 6804 6966 8127 10449 10836 13932 16254 20898 24381 32508 41796 48762 73143 97524 146286 292572 417371 834742 1252113 1669484 2504226 2921597 3756339 5008452 5843194 7512678 8764791 11269017 11686388 15025356 17529582 17946953 22538034 26294373 33807051 35059164 35893906 45076068 52588746 53840859 67614102 71787812 78883119 101421153 105177492 107681718 125628671 135228204 157766238 161522577 202842306 215363436 236649357 251257342 315532476 323045154 376886013 405684612 473298714 484567731 502514684 646090308 709948071 753772026 946597428 969135462 1130658039 1419896142 1453703193 1507544052 1938270924 2261316078 2839792284 2907406386 3391974117 4361109579 4522632156 5814812772 6783948234 8722219158 10175922351 13567896468 17444438316 20351844702 30527767053 40703689404 61055534106 122111068212