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121111012121112 = 233213196810110893
BaseRepresentation
bin11011100010011001011010…
…110110110001101000011000
3120212211002200200002111221200
4123202121122312301220120
5111333240323100333422
61105325344134234200
734336660532330106
oct3342313266615030
9525732620074850
10121111012121112
1135653989a91842
1211700160ab5960
1352769477b4730
1421c9b38c80c76
15e00596c8c2ac
hex6e265adb1a18

121111012121112 has 96 divisors (see below), whose sum is σ = 371832054812400. Its totient is φ = 35303614864128.

The previous prime is 121111012120999. The next prime is 121111012121119. The reversal of 121111012121112 is 211121210111121.

121111012121112 is a `hidden beast` number, since 1 + 211 + 110 + 121 + 211 + 12 = 666.

It is a super-2 number, since 2×1211110121211122 (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121111012121119) 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 23 ways as a sum of consecutive naturals, for example, 3405037663 + ... + 3405073230.

Almost surely, 2121111012121112 is an apocalyptic number.

121111012121112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121111012121112 is an abundant number, since it is smaller than the sum of its proper divisors (250721042691288).

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

121111012121112 is a wasteful number, since it uses less digits than its factorization.

121111012121112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6810110937 (or 6810110930 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 18.

Adding to 121111012121112 its reverse (211121210111121), we get a palindrome (332232222232233).

The spelling of 121111012121112 in words is "one hundred twenty-one trillion, one hundred eleven billion, twelve million, one hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 19 24 26 36 38 39 52 57 72 76 78 104 114 117 152 156 171 228 234 247 312 342 456 468 494 684 741 936 988 1368 1482 1976 2223 2964 4446 5928 8892 17784 6810110893 13620221786 20430332679 27240443572 40860665358 54480887144 61290998037 81721330716 88531441609 122581996074 129392106967 163442661432 177062883218 245163992148 258784213934 265594324827 354125766436 388176320901 490327984296 517568427868 531188649654 708251532872 776352641802 796782974481 1035136855736 1062377299308 1164528962703 1552705283604 1593565948962 1682097390571 2124754598616 2329057925406 3105410567208 3187131897924 3364194781142 4658115850812 5046292171713 6374263795848 6728389562284 9316231701624 10092584343426 13456779124568 15138876515139 20185168686852 30277753030278 40370337373704 60555506060556 121111012121112