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121011221110122 = 23276129995249873
BaseRepresentation
bin11011100000111100011110…
…110110010001110101101010
3120212110120010001200220201200
4123200330132312101311222
5111330121440101010442
61105211442034425030
734326525603615030
oct3340743666216552
9525416101626650
10121011221110122
1135615630619232
12116a4951132176
13526a403388935
1421c4d8d8a2550
15decba608534c
hex6e0f1ed91d6a

121011221110122 has 96 divisors (see below), whose sum is σ = 304660687968000. Its totient is φ = 33996491112960.

The previous prime is 121011221110069. The next prime is 121011221110127. The reversal of 121011221110122 is 221011122110121.

It is a happy number.

121011221110122 is a `hidden beast` number, since 1 + 210 + 1 + 1 + 221 + 110 + 122 = 666.

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 = 121011221110095 and 121011221110104.

It is not an unprimeable number, because it can be changed into a prime (121011221110127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20425378 + ... + 25675250.

It is an arithmetic number, because the mean of its divisors is an integer number (3173548833000).

Almost surely, 2121011221110122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121011221110122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152330343984000).

121011221110122 is an abundant number, since it is smaller than the sum of its proper divisors (183649466857878).

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

121011221110122 is a wasteful number, since it uses less digits than its factorization.

121011221110122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5252948 (or 5252945 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 121011221110122 its reverse (221011122110121), we get a palindrome (342022343220243).

Subtracting 121011221110122 from its reverse (221011122110121), we obtain a palindrome (99999900999999).

The spelling of 121011221110122 in words is "one hundred twenty-one trillion, eleven billion, two hundred twenty-one million, one hundred ten thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 61 63 122 126 183 366 427 549 854 1098 1281 2562 2999 3843 5998 7686 8997 17994 20993 26991 41986 53982 62979 125958 182939 188937 365878 377874 548817 1097634 1280573 1646451 2561146 3292902 3841719 5249873 7683438 10499746 11525157 15749619 23050314 31499238 36749111 47248857 73498222 94497714 110247333 220494666 320242253 330741999 640484506 661483998 960726759 1921453518 2241695771 2882180277 4483391542 5764360554 6725087313 13450174626 15744369127 20175261939 31488738254 40350523878 47233107381 94466214762 110210583889 141699322143 220421167778 283398644286 330631751667 661263503334 960406516747 991895255001 1920813033494 1983790510002 2881219550241 5762439100482 6722845617229 8643658650723 13445691234458 17287317301446 20168536851687 40337073703374 60505610555061 121011221110122