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122020111200012 = 2231093491697157513
BaseRepresentation
bin11011101111101000000101…
…011000100010111100001100
3121000001000020100101200220020
4123233220011120202330030
5111443134141431400022
61111303133142422140
734462443051106344
oct3357500530427414
9530030210350806
10122020111200012
1135974490795253
1211828394431950
1353115a740129c
14221bb3a8add24
15e1905301735c
hex6efa05622f0c

122020111200012 has 96 divisors (see below), whose sum is σ = 288320556216000. Its totient is φ = 40160811958272.

The previous prime is 122020111199969. The next prime is 122020111200101. The reversal of 122020111200012 is 210002111020221.

It is a junction number, because it is equal to n+sod(n) for n = 122020111199964 and 122020111200000.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 774588168 + ... + 774745680.

It is an arithmetic number, because the mean of its divisors is an integer number (3003339127250).

Almost surely, 2122020111200012 is an apocalyptic number.

122020111200012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122020111200012 is an abundant number, since it is smaller than the sum of its proper divisors (166300445015988).

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

122020111200012 is a wasteful number, since it uses less digits than its factorization.

122020111200012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159675 (or 159673 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 122020111200012 its reverse (210002111020221), we get a palindrome (332022222220233).

The spelling of 122020111200012 in words is "one hundred twenty-two trillion, twenty billion, one hundred eleven million, two hundred thousand, twelve".

Divisors: 1 2 3 4 6 12 109 218 327 349 436 654 698 1047 1308 1396 1697 2094 3394 4188 5091 6788 10182 20364 38041 76082 114123 152164 157513 184973 228246 315026 369946 456492 472539 554919 592253 630052 739892 945078 1109838 1184506 1776759 1890156 2219676 2369012 3553518 7107036 17168917 34337834 51506751 54972037 64555577 68675668 103013502 109944074 129111154 164916111 193666731 206027004 219888148 258222308 267299561 329832222 387333462 534599122 659664444 774666924 801898683 1069198244 1603797366 3207594732 5991952033 11983904066 17975856099 23967808132 29135652149 35951712198 58271304298 71903424396 87406956447 93287546789 116542608596 174813912894 186575093578 279862640367 349627825788 373150187156 559725280734 1119450561468 10168342600001 20336685200002 30505027800003 40673370400004 61010055600006 122020111200012