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122101110111012 = 2233119716071036799
BaseRepresentation
bin11011110000110011100001…
…010010110111101100100100
3121000022202022022010201011220
4123300303201102313230210
5112001001033142023022
61111404250422300340
734501341222355044
oct3360634122675444
9530282268121156
10122101110111012
11359a5876540a0a
121184001a8876b0
1353191154816a6
142221a22191724
15e1b1e404e85c
hex6f0ce14b7b24

122101110111012 has 96 divisors (see below), whose sum is σ = 295770075955200. Its totient is φ = 39163095269760.

The previous prime is 122101110110999. The next prime is 122101110111017. The reversal of 122101110111012 is 210111011101221.

It is a junction number, because it is equal to n+sod(n) for n = 122101110110982 and 122101110111000.

It is not an unprimeable number, because it can be changed into a prime (122101110111017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117248989 + ... + 118285787.

It is an arithmetic number, because the mean of its divisors is an integer number (3080938291200).

Almost surely, 2122101110111012 is an apocalyptic number.

122101110111012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122101110111012 is an abundant number, since it is smaller than the sum of its proper divisors (173668965844188).

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

122101110111012 is a wasteful number, since it uses less digits than its factorization.

122101110111012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038641 (or 1038639 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 122101110111012 its reverse (210111011101221), we get a palindrome (332212121212233).

The spelling of 122101110111012 in words is "one hundred twenty-two trillion, one hundred one billion, one hundred ten million, one hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 12 31 62 93 124 186 197 372 394 591 788 1182 1607 2364 3214 4821 6107 6428 9642 12214 18321 19284 24428 36642 49817 73284 99634 149451 199268 298902 316579 597804 633158 949737 1036799 1266316 1899474 2073598 3110397 3798948 4147196 6220794 9813949 12441588 19627898 29441847 32140769 39255796 58883694 64281538 96422307 117767388 128563076 192844614 204249403 385689228 408498806 612748209 816997612 1225496418 1666135993 2450992836 3332271986 4998407979 6331731493 6664543972 9996815958 12663462986 18995194479 19993631916 25326925972 37990388958 51650215783 75980777916 103300431566 154950647349 206600863132 309901294698 328228790621 619802589396 656457581242 984686371863 1312915162484 1969372743726 3938745487452 10175092509251 20350185018502 30525277527753 40700370037004 61050555055506 122101110111012