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120001102222122 = 23411179376204949
BaseRepresentation
bin11011010010001111101111…
…000100100001001100101010
3120201212222211010210201110000
4123102033233010201030222
5111212044224132101442
61103115424553203430
734163536116003552
oct3322175704411452
9521788733721400
10120001102222122
11352661aa866a90
1211561026400576
1351c60948a7c04
14218c1275ca162
15dd17862c9d4c
hex6d23ef12132a

120001102222122 has 80 divisors (see below), whose sum is σ = 294974777196000. Its totient is φ = 36160819601760.

The previous prime is 120001102222117. The next prime is 120001102222139. The reversal of 120001102222122 is 221222201100021.

It is a happy number.

120001102222122 is a `hidden beast` number, since 120 + 0 + 0 + 110 + 222 + 212 + 2 = 666.

120001102222122 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 120001102222095 and 120001102222104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 187783497 + ... + 188421452.

It is an arithmetic number, because the mean of its divisors is an integer number (3687184714950).

Almost surely, 2120001102222122 is an apocalyptic number.

120001102222122 is an abundant number, since it is smaller than the sum of its proper divisors (174973674973878).

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

120001102222122 is a wasteful number, since it uses less digits than its factorization.

120001102222122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376205153 (or 376205144 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 120001102222122 its reverse (221222201100021), we get a palindrome (341223303322143).

The spelling of 120001102222122 in words is "one hundred twenty trillion, one billion, one hundred two million, two hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 179 198 297 358 537 594 891 1074 1611 1782 1969 3222 3938 4833 5907 9666 11814 14499 17721 28998 35442 53163 106326 159489 318978 376204949 752409898 1128614847 2257229694 3385844541 4138254439 6771689082 8276508878 10157533623 12414763317 20315067246 24829526634 30472600869 37244289951 60945201738 67340685871 74488579902 111732869853 134681371742 202022057613 223465739706 335198609559 404044115226 606066172839 670397219118 740747544581 1212132345678 1481495089162 1818198518517 2222242633743 3636397037034 4444485267486 5454595555551 6666727901229 10909191111102 13333455802458 20000183703687 40000367407374 60000551111061 120001102222122