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121122100022005 = 53747229449135479
BaseRepresentation
bin11011100010100011101111…
…101111110000101011110101
3120212212011022101221020112201
4123202203233233300223311
5111333431030101201010
61105334420302344501
734340532360043555
oct3342435757605365
9525764271836481
10121122100022005
11356586598a78a5
121170233628b131
1352779c39a7734
1421ca4ab6b3165
15e009e53e123a
hex6e28efbf0af5

121122100022005 has 64 divisors (see below), whose sum is σ = 153458737920000. Its totient is φ = 91664666247168.

The previous prime is 121122100021987. The next prime is 121122100022023. The reversal of 121122100022005 is 500220001221121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (121122100021987) and next prime (121122100022023).

It is a cyclic number.

It is not a de Polignac number, because 121122100022005 - 213 = 121122100013813 is a prime.

It is a super-2 number, since 2×1211221000220052 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 893960856 + ... + 894096334.

It is an arithmetic number, because the mean of its divisors is an integer number (2397792780000).

Almost surely, 2121122100022005 is an apocalyptic number.

It is an amenable number.

121122100022005 is a deficient number, since it is larger than the sum of its proper divisors (32336637897995).

121122100022005 is a wasteful number, since it uses less digits than its factorization.

121122100022005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136246.

The product of its (nonzero) digits is 160, while the sum is 19.

Adding to 121122100022005 its reverse (500220001221121), we get a palindrome (621342101243126).

The spelling of 121122100022005 in words is "one hundred twenty-one trillion, one hundred twenty-two billion, one hundred million, twenty-two thousand, five".

Divisors: 1 5 37 47 185 229 235 449 1145 1739 2245 8473 8695 10763 16613 21103 42365 53815 83065 102821 105515 135479 398231 514105 677395 780811 1991155 3804377 3904055 4832587 5012723 6367513 19021885 24162935 25063615 31024691 31837565 60830071 155123455 178805719 235597981 304150355 894028595 1147913567 1177989905 1458160477 2250712627 2859013337 5739567835 7290802385 11253563135 13930086259 14295066685 53951937649 69650431295 105783493469 269759688245 515413191583 528917467345 654714054173 2577065957915 3273570270865 24224420004401 121122100022005