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121140042210 = 233511169924007
BaseRepresentation
bin111000011010010000…
…0100101100111100010
3102120200110100202102000
41300310200211213202
53441043322322320
6131352335304430
711515651240425
oct1606440454742
9376613322360
10121140042210
1147414439770
121b58967b116
13b567447b65
145c129099bc
1532400eac90
hex1c348259e2

121140042210 has 128 divisors (see below), whose sum is σ = 352629504000. Its totient is φ = 29348775360.

The previous prime is 121140042203. The next prime is 121140042227. The reversal of 121140042210 is 12240041121.

121140042210 is a `hidden beast` number, since 1 + 2 + 11 + 400 + 42 + 210 = 666.

It is a super-3 number, since 3×1211400422103 (a number of 34 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5034027 + ... + 5058033.

It is an arithmetic number, because the mean of its divisors is an integer number (2754918000).

Almost surely, 2121140042210 is an apocalyptic number.

121140042210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121140042210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176314752000).

121140042210 is an abundant number, since it is smaller than the sum of its proper divisors (231489461790).

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

121140042210 is a wasteful number, since it uses less digits than its factorization.

121140042210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25733 (or 25727 counting only the distinct ones).

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

Adding to 121140042210 its reverse (12240041121), we get a palindrome (133380083331).

The spelling of 121140042210 in words is "one hundred twenty-one billion, one hundred forty million, forty-two thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 495 594 990 1485 1699 2970 3398 5097 8495 10194 15291 16990 18689 24007 25485 30582 37378 45873 48014 50970 56067 72021 76455 91746 93445 112134 120035 144042 152910 168201 186890 216063 229365 240070 264077 280335 336402 360105 432126 458730 504603 528154 560670 648189 720210 792231 841005 1009206 1080315 1296378 1320385 1584462 1682010 2160630 2376693 2523015 2640770 3240945 3961155 4753386 5046030 6481890 7130079 7922310 11883465 14260158 23766930 35650395 40787893 71300790 81575786 122363679 203939465 244727358 367091037 407878930 448666823 611818395 734182074 897333646 1101273111 1223636790 1346000469 1835455185 2202546222 2243334115 2692000938 3670910370 4038001407 4486668230 5506365555 6730002345 8076002814 11012731110 12114004221 13460004690 20190007035 24228008442 40380014070 60570021105 121140042210