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121122102220 = 225710319942209
BaseRepresentation
bin111000011001101110…
…0001001101111001100
3102120122012121022100221
41300303130021233030
53441024224232340
6131350455001124
711515342611310
oct1606334115714
9376565538327
10121122102220
11474052a6129
121b5836691a4
13b563806292
145c10399b40
15323d75544a
hex1c33709bcc

121122102220 has 96 divisors (see below), whose sum is σ = 294997248000. Its totient is φ = 40916772864.

The previous prime is 121122102203. The next prime is 121122102229. The reversal of 121122102220 is 22201221121.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 121122102194 and 121122102203.

It is not an unprimeable number, because it can be changed into a prime (121122102229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2848476 + ... + 2890684.

It is an arithmetic number, because the mean of its divisors is an integer number (3072888000).

Almost surely, 2121122102220 is an apocalyptic number.

121122102220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121122102220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147498624000).

121122102220 is an abundant number, since it is smaller than the sum of its proper divisors (173875145780).

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

121122102220 is a wasteful number, since it uses less digits than its factorization.

121122102220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42527 (or 42525 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 121122102220 its reverse (22201221121), we get a palindrome (143323323341).

The spelling of 121122102220 in words is "one hundred twenty-one billion, one hundred twenty-two million, one hundred two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 103 140 199 206 398 412 515 721 796 995 1030 1393 1442 1990 2060 2786 2884 3605 3980 5572 6965 7210 13930 14420 20497 27860 40994 42209 81988 84418 102485 143479 168836 204970 211045 286958 295463 409940 422090 573916 590926 717395 844180 1181852 1434790 1477315 2869580 2954630 4347527 5909260 8399591 8695054 16799182 17390108 21737635 30432689 33598364 41997955 43475270 58797137 60865378 83995910 86950540 117594274 121730756 152163445 167991820 235188548 293985685 304326890 587971370 608653780 865157873 1175942740 1730315746 3460631492 4325789365 6056105111 8651578730 12112210222 17303157460 24224420444 30280525555 60561051110 121122102220