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122112200105 = 5710786337783
BaseRepresentation
bin111000110111001110…
…1000100110110101001
3102200012012122111022222
41301232131010312221
54000041210400410
6132033024123425
711552024401130
oct1615635046651
9380165574288
10122112200105
1147873176345
121b7bb166575
13b69098730c
145ca5a8a917
15329a62c955
hex1c6e744da9

122112200105 has 32 divisors (see below), whose sum is σ = 169233629184. Its totient is φ = 82853205696.

The previous prime is 122112200003. The next prime is 122112200129. The reversal of 122112200105 is 501002211221.

It is a cyclic number.

It is not a de Polignac number, because 122112200105 - 228 = 121843764649 is a prime.

It is a super-2 number, since 2×1221122001052 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3213044 + ... + 3250826.

It is an arithmetic number, because the mean of its divisors is an integer number (5288550912).

Almost surely, 2122112200105 is an apocalyptic number.

It is an amenable number.

122112200105 is a deficient number, since it is larger than the sum of its proper divisors (47121429079).

122112200105 is a wasteful number, since it uses less digits than its factorization.

122112200105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38765.

The product of its (nonzero) digits is 80, while the sum is 17.

Adding to 122112200105 its reverse (501002211221), we get a palindrome (623114411326).

The spelling of 122112200105 in words is "one hundred twenty-two billion, one hundred twelve million, two hundred thousand, one hundred five".

Divisors: 1 5 7 35 107 535 749 863 3745 4315 6041 30205 37783 92341 188915 264481 461705 646387 1322405 3231935 4042781 20213905 28299467 32606729 141497335 163033645 228247103 1141235515 3488920003 17444600015 24422440021 122112200105