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121021201201122 = 23237439683606041
BaseRepresentation
bin11011100001000101110001…
…101101010011011111100010
3120212111111212121000001211200
4123201011301231103133202
5111330302410001413442
61105220212230422030
734330331120160165
oct3341056155233742
9525444777001750
10121021201201122
1135619892075322
12116a6877501916
13526b333bc5221
1421c5659121adc
15ded08c30e34c
hex6e1171b537e2

121021201201122 has 96 divisors (see below), whose sum is σ = 270308501274240. Its totient is φ = 39103310442240.

The previous prime is 121021201200997. The next prime is 121021201201141. The reversal of 121021201201122 is 221102102120121.

121021201201122 is a `hidden beast` number, since 1 + 210 + 212 + 0 + 120 + 1 + 122 = 666.

It is a super-2 number, since 2×1210212012011222 (a number of 29 digits) contains 22 as substring.

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 = 121021201201095 and 121021201201104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 199388422 + ... + 199994462.

It is an arithmetic number, because the mean of its divisors is an integer number (2815713554940).

Almost surely, 2121021201201122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121021201201122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135154250637120).

121021201201122 is an abundant number, since it is smaller than the sum of its proper divisors (149287300073118).

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

121021201201122 is a wasteful number, since it uses less digits than its factorization.

121021201201122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607208 (or 607205 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 121021201201122 its reverse (221102102120121), we get a palindrome (342123303321243).

The spelling of 121021201201122 in words is "one hundred twenty-one trillion, twenty-one billion, two hundred one million, two hundred one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 439 666 683 878 1317 1366 2049 2634 3951 4098 6147 7902 12294 16243 25271 32486 48729 50542 75813 97458 146187 151626 227439 292374 299837 454878 599674 606041 899511 1212082 1799022 1818123 2698533 3636246 5397066 5454369 10908738 11093969 22187938 22423517 33281907 44847034 66563814 67270551 99845721 134541102 199691442 201811653 266051999 403623306 413926003 532103998 798155997 827852006 1241778009 1596311994 2394467991 2483556018 3725334027 4788935982 7450668054 9843923963 15315262111 19687847926 29531771889 30630524222 45945786333 59063543778 88595315667 91891572666 137837358999 177190631334 181713515317 275674717998 363427030634 545140545951 1090281091902 1635421637853 3270843275706 6723400066729 13446800133458 20170200200187 40340400400374 60510600600561 121021201201122