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122120121011122 = 213217711106927043
BaseRepresentation
bin11011110001000101001110…
…011011101100101110110010
3121000101120101012111111110101
4123301011032123230232302
5112001304001434323442
61111421113100023014
734502613304346563
oct3361051633545662
9530346335444411
10122120121011122
1135a02941711603
1211843845531a6a
13531ab54c67600
142222906d6616a
15e1b95803dcb7
hex6f114e6ecbb2

122120121011122 has 96 divisors (see below), whose sum is σ = 213007989928320. Its totient is φ = 52293845560320.

The previous prime is 122120121011099. The next prime is 122120121011123. The reversal of 122120121011122 is 221110121021221.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 122120121011122.

It is not an unprimeable number, because it can be changed into a prime (122120121011123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4515762133 + ... + 4515789175.

It is an arithmetic number, because the mean of its divisors is an integer number (2218833228420).

Almost surely, 2122120121011122 is an apocalyptic number.

122120121011122 is a deficient number, since it is larger than the sum of its proper divisors (90887868917198).

122120121011122 is a wasteful number, since it uses less digits than its factorization.

122120121011122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38228 (or 38215 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 122120121011122 its reverse (221110121021221), we get a palindrome (343230242032343).

The spelling of 122120121011122 in words is "one hundred twenty-two trillion, one hundred twenty billion, one hundred twenty-one million, eleven thousand, one hundred twenty-two".

Divisors: 1 2 13 17 26 34 71 142 169 221 338 442 923 1207 1846 2414 2873 5746 11069 11999 15691 22138 23998 27043 31382 54086 143897 188173 203983 287794 351559 376346 407966 459731 703118 785899 919462 1571798 1870661 1920053 2446249 3741322 3840106 4570267 4892498 5976503 9140534 10216687 11953006 13360283 20433374 24960689 26720566 31801237 32640901 49921378 63602474 65281802 77694539 132816931 155389078 173683679 265633862 299338967 324488957 347367358 424331713 598677934 648977914 848663426 2257887827 3891406571 4515775654 5088762439 5516312269 7782813142 10177524878 11032624538 21253066657 42506133314 50588285423 66153911707 101176570846 132307823414 276289866541 361302133169 552579733082 722604266338 860000852191 1720001704382 3591768265033 4696927731197 7183536530066 9393855462394 61060060505561 122120121011122