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122212211200112 = 241131139161148193
BaseRepresentation
bin11011110010011010111111…
…011011111001000001110000
3121000201101002010102210211202
4123302122333123321001300
5112004311102031400422
61111531303104230332
734512353344135565
oct3362327733710160
9530641063383752
10122212211200112
1135a389a917a610
121185966630b3a8
13532673cb20bb7
1422271616b886c
15e1e047b45b92
hex6f26bf6f9070

122212211200112 has 80 divisors (see below), whose sum is σ = 268563134192640. Its totient is φ = 53372281190400.

The previous prime is 122212211200103. The next prime is 122212211200141. The reversal of 122212211200112 is 211002112212221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79815713 + ... + 81332480.

It is an arithmetic number, because the mean of its divisors is an integer number (3357039177408).

Almost surely, 2122212211200112 is an apocalyptic number.

It is an amenable number.

122212211200112 is an abundant number, since it is smaller than the sum of its proper divisors (146350922992528).

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

122212211200112 is a wasteful number, since it uses less digits than its factorization.

122212211200112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161148382 (or 161148376 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 122212211200112 its reverse (211002112212221), we get a palindrome (333214323412333).

The spelling of 122212211200112 in words is "one hundred twenty-two trillion, two hundred twelve billion, two hundred eleven million, two hundred thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 124 139 176 248 278 341 496 556 682 1112 1364 1529 2224 2728 3058 4309 5456 6116 8618 12232 17236 24464 34472 47399 68944 94798 189596 379192 758384 161148193 322296386 644592772 1289185544 1772630123 2578371088 3545260246 4995593983 7090520492 9991187966 14181040984 19982375932 22399598827 28362081968 39964751864 44799197654 54951533813 79929503728 89598395308 109903067626 179196790616 219806135252 246395587097 358393581232 439612270504 492791174194 694387563637 879224541008 985582348388 1388775127274 1971164696776 2777550254548 3942329393552 5555100509096 7638263200007 11110201018192 15276526400014 30553052800028 61106105600056 122212211200112