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122012120112 = 24317307487051
BaseRepresentation
bin111000110100001111…
…1010011010000110000
3102122221020022220101120
41301220133103100300
53444340100320422
6132015051102240
711546400623541
oct1615037232060
9378836286346
10122012120112
114782172a803
121b791741980
13b67601629c
145c966784c8
15329195e45c
hex1c687d3430

122012120112 has 80 divisors (see below), whose sum is σ = 334826819712. Its totient is φ = 38153548800.

The previous prime is 122012120057. The next prime is 122012120117. The reversal of 122012120112 is 211021210221.

It is a super-2 number, since 2×1220121201122 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122012120091 and 122012120100.

It is not an unprimeable number, because it can be changed into a prime (122012120117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6987 + ... + 494037.

Almost surely, 2122012120112 is an apocalyptic number.

122012120112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122012120112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167413409856).

122012120112 is an abundant number, since it is smaller than the sum of its proper divisors (212814699600).

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

122012120112 is a wasteful number, since it uses less digits than its factorization.

122012120112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487386 (or 487380 counting only the distinct ones).

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

Adding to 122012120112 its reverse (211021210221), we get a palindrome (333033330333).

The spelling of 122012120112 in words is "one hundred twenty-two billion, twelve million, one hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 307 408 614 816 921 1228 1842 2456 3684 4912 5219 7368 10438 14736 15657 20876 31314 41752 62628 83504 125256 250512 487051 974102 1461153 1948204 2922306 3896408 5844612 7792816 8279867 11689224 16559734 23378448 24839601 33119468 49679202 66238936 99358404 132477872 149524657 198716808 299049314 397433616 448573971 598098628 897147942 1196197256 1794295884 2392394512 2541919169 3588591768 5083838338 7177183536 7625757507 10167676676 15251515014 20335353352 30503030028 40670706704 61006060056 122012120112