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121210220120 = 235111187232079
BaseRepresentation
bin111000011100010110…
…0010010111001011000
3102120212100102011101212
41300320230102321120
53441214304020440
6131403323402252
711520462604643
oct1607054227130
9376770364355
10121210220120
1147450011440
121b5a9083388
13b578b49652
145c1bd76a5a
15324635e465
hex1c38b12e58

121210220120 has 64 divisors (see below), whose sum is σ = 297767923200. Its totient is φ = 44039121280.

The previous prime is 121210220113. The next prime is 121210220123. The reversal of 121210220120 is 21022012121.

It is a junction number, because it is equal to n+sod(n) for n = 121210220095 and 121210220104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121210220123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 406241 + ... + 638319.

It is an arithmetic number, because the mean of its divisors is an integer number (4652623800).

Almost surely, 2121210220120 is an apocalyptic number.

121210220120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121210220120 is an abundant number, since it is smaller than the sum of its proper divisors (176557703080).

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

121210220120 is a wasteful number, since it uses less digits than its factorization.

121210220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233288 (or 233284 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 121210220120 its reverse (21022012121), we get a palindrome (142232232241).

The spelling of 121210220120 in words is "one hundred twenty-one billion, two hundred ten million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 1187 2374 4748 5935 9496 11870 13057 23740 26114 47480 52228 65285 104456 130570 232079 261140 464158 522280 928316 1160395 1856632 2320790 2552869 4641580 5105738 9283160 10211476 12764345 20422952 25528690 51057380 102114760 275477773 550955546 1101911092 1377388865 2203822184 2754777730 3030255503 5509555460 6060511006 11019110920 12121022012 15151277515 24242044024 30302555030 60605110060 121210220120