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122012001111 = 372111319305489
BaseRepresentation
bin111000110100001111…
…0110110001101010111
3102122221020002212011010
41301220132312031113
53444340033013421
6132015044343303
711546366616600
oct1615036661527
9378836085133
10122012001111
1147821659360
121b7916a4b33
13b675ca4080
145c96646da7
153291939076
hex1c687b6357

122012001111 has 96 divisors (see below), whose sum is σ = 234029779200. Its totient is φ = 55427742720.

The previous prime is 122012001103. The next prime is 122012001143. The reversal of 122012001111 is 111100210221.

It is not a de Polignac number, because 122012001111 - 23 = 122012001103 is a prime.

It is a super-2 number, since 2×1220120011112 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122012001151) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 246655 + ... + 552143.

It is an arithmetic number, because the mean of its divisors is an integer number (2437810200).

Almost surely, 2122012001111 is an apocalyptic number.

122012001111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

122012001111 is a deficient number, since it is larger than the sum of its proper divisors (112017778089).

122012001111 is a wasteful number, since it uses less digits than its factorization.

122012001111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305549 (or 305542 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 122012001111 its reverse (111100210221), we get a palindrome (233112211332).

The spelling of 122012001111 in words is "one hundred twenty-two billion, twelve million, one thousand, one hundred eleven".

Divisors: 1 3 7 11 13 19 21 33 39 49 57 77 91 133 143 147 209 231 247 273 399 429 539 627 637 741 931 1001 1463 1617 1729 1911 2717 2793 3003 4389 5187 7007 8151 10241 12103 19019 21021 30723 36309 57057 133133 305489 399399 916467 2138423 3360379 3971357 5804291 6415269 10081137 11914071 14968961 17412873 23522653 27799499 40630037 43684927 44906883 63847201 70567959 75455783 83398497 121890111 131054781 164658571 191541603 194596493 226367349 284410259 305794489 446930407 493975713 528190481 583789479 830013613 853230777 917383467 1340791221 1584571443 2140561423 2490040839 3128512849 3697333367 5810095291 6421684269 9385538547 11092000101 17430285873 40670667037 122012001111