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122000120012112 = 24369123663155443
BaseRepresentation
bin11011101111010101011101…
…110100001101110101010000
3120222222002122010110010120120
4123233111131310031311100
5111442322221210341422
61111250025330110240
734461134463603606
oct3357253564156520
9528862563403516
10122000120012112
1135966a62234961
121182453541b380
13530c73c7c0614
14221aba183d876
15e18782e3c45c
hex6ef55dd0dd50

122000120012112 has 80 divisors (see below), whose sum is σ = 315638448227328. Its totient is φ = 40605877388160.

The previous prime is 122000120012093. The next prime is 122000120012129. The reversal of 122000120012112 is 211210021000221.

It is a junction number, because it is equal to n+sod(n) for n = 122000120012091 and 122000120012100.

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, 784776663 + ... + 784932105.

Almost surely, 2122000120012112 is an apocalyptic number.

122000120012112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122000120012112 is an abundant number, since it is smaller than the sum of its proper divisors (193638328215216).

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

122000120012112 is a wasteful number, since it uses less digits than its factorization.

122000120012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179808 (or 179802 counting only the distinct ones).

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

Adding to 122000120012112 its reverse (211210021000221), we get a palindrome (333210141012333).

The spelling of 122000120012112 in words is "one hundred twenty-two trillion, one hundred twenty million, twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 691 1382 2073 2764 4146 5528 8292 11056 16584 23663 33168 47326 70989 94652 141978 155443 189304 283956 310886 378608 466329 567912 621772 932658 1135824 1243544 1865316 2487088 3730632 7461264 16351133 32702266 49053399 65404532 98106798 107411113 130809064 196213596 214822226 261618128 322233339 392427192 429644452 644466678 784854384 859288904 1288933356 1718577808 2577866712 3678247709 5155733424 7356495418 11034743127 14712990836 22069486254 29425981672 44138972508 58851963344 88277945016 176555890032 2541669166919 5083338333838 7625007500757 10166676667676 15250015001514 20333353335352 30500030003028 40666706670704 61000060006056 122000120012112