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120011120022101 = 71110788191118149
BaseRepresentation
bin11011010010011001000100…
…001011011001001001010101
3120201220221200022001200112212
4123102121010023121021111
5111212230233211201401
61103124203013323205
734164342300622520
oct3322310413311125
9521827608050485
10120011120022101
113526a480629420
1211562b61336505
1351c70001882c9
14218c7d7c63bb7
15dd1b70a01dbb
hex6d26442d9255

120011120022101 has 64 divisors (see below), whose sum is σ = 151368337612800. Its totient is φ = 92429361024000.

The previous prime is 120011120022077. The next prime is 120011120022121. The reversal of 120011120022101 is 101220021110021.

It is not a de Polignac number, because 120011120022101 - 222 = 120011115827797 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120011120022121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6612538175 + ... + 6612556323.

It is an arithmetic number, because the mean of its divisors is an integer number (2365130275200).

Almost surely, 2120011120022101 is an apocalyptic number.

120011120022101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120011120022101 is a deficient number, since it is larger than the sum of its proper divisors (31357217590699).

120011120022101 is a wasteful number, since it uses less digits than its factorization.

120011120022101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20066.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 120011120022101 its reverse (101220021110021), we get a palindrome (221231141132122).

It can be divided in two parts, 1200111 and 20022101, that added together give a palindrome (21222212).

The spelling of 120011120022101 in words is "one hundred twenty trillion, eleven billion, one hundred twenty million, twenty-two thousand, one hundred one".

Divisors: 1 7 11 77 107 749 881 911 1177 6167 6377 8239 9691 10021 18149 67837 70147 94267 97477 127043 199639 659869 682339 802591 1036937 1072247 1397473 1941943 5618137 7258559 7505729 8828501 13593601 15989269 16533739 21361373 61799507 85877237 111924883 115736173 149529611 175881959 181871129 601140659 944649607 1231173713 1273097903 1710851783 1769110073 6612547249 11975962481 12383770511 14566224059 18819369613 19460210803 101963568413 131735587291 136221475621 160228464649 1121599252543 1558585974313 10910101820191 17144445717443 120011120022101