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122112110111212 = 221319294261905281
BaseRepresentation
bin11011110000111101110000…
…111100100010100111101100
3121000100210200220120121200201
4123300331300330202213230
5112001141100142024322
61111413310130403244
734502210632001344
oct3360756074424754
9530323626517621
10122112110111212
11359aa500779971
121184218a730524
13531a1793a9150
142222387061d24
15e1b639addd27
hex6f0f70f229ec

122112110111212 has 48 divisors (see below), whose sum is σ = 250600030581600. Its totient is φ = 51552006266880.

The previous prime is 122112110111209. The next prime is 122112110111219. The reversal of 122112110111212 is 212111011211221.

It is a super-2 number, since 2×1221121101112122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 122112110111212.

It is not an unprimeable number, because it can be changed into a prime (122112110111219) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2130923989 + ... + 2130981292.

It is an arithmetic number, because the mean of its divisors is an integer number (5220833970450).

Almost surely, 2122112110111212 is an apocalyptic number.

It is an amenable number.

122112110111212 is an abundant number, since it is smaller than the sum of its proper divisors (128487920470388).

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

122112110111212 is a wasteful number, since it uses less digits than its factorization.

122112110111212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4261905346 (or 4261905344 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 19.

Adding to 122112110111212 its reverse (212111011211221), we get a palindrome (334223121322433).

The spelling of 122112110111212 in words is "one hundred twenty-two trillion, one hundred twelve billion, one hundred ten million, one hundred eleven thousand, two hundred twelve".

Divisors: 1 2 4 13 19 26 29 38 52 58 76 116 247 377 494 551 754 988 1102 1508 2204 7163 14326 28652 4261905281 8523810562 17047621124 55404768653 80976200339 110809537306 123595253149 161952400678 221619074612 247190506298 323904801356 494381012596 1052690604407 1606738290937 2105381208814 2348309809831 3213476581874 4210762417628 4696619619662 6426953163748 9393239239324 30528027527803 61056055055606 122112110111212