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122243340120 = 233511823711243
BaseRepresentation
bin111000111011001000…
…1010101011101011000
3102200112100102002121120
41301312101111131120
54000323243340440
6132054031005240
711555206150416
oct1616621253530
9380470362546
10122243340120
11479301a6820
121b837069820
13b6b1bb1965
145cb92662b6
1532a6dd3dd0
hex1c76455758

122243340120 has 128 divisors (see below), whose sum is σ = 400153271040. Its totient is φ = 29628515840.

The previous prime is 122243340101. The next prime is 122243340127. The reversal of 122243340120 is 21043342221.

It is a happy number.

It is a super-2 number, since 2×1222433401202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122243340127) 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, 10867219 + ... + 10878461.

It is an arithmetic number, because the mean of its divisors is an integer number (3126197430).

Almost surely, 2122243340120 is an apocalyptic number.

122243340120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122243340120 is an abundant number, since it is smaller than the sum of its proper divisors (277909930920).

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

122243340120 is a wasteful number, since it uses less digits than its factorization.

122243340120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19505 (or 19501 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 122243340120 its reverse (21043342221), we get a palindrome (143286682341).

The spelling of 122243340120 in words is "one hundred twenty-two billion, two hundred forty-three million, three hundred forty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 8237 11243 16474 22486 24711 32948 33729 41185 44972 49422 56215 65896 67458 82370 89944 90607 98844 112430 123555 123673 134916 164740 168645 181214 197688 224860 247110 247346 269832 271821 329480 337290 362428 371019 449720 453035 494220 494692 543642 618365 674580 724856 742038 906070 988440 989384 1087284 1236730 1349160 1359105 1484076 1812140 1855095 2174568 2473460 2718210 2968152 3624280 3710190 4946920 5436420 7420380 10872840 14840760 92608591 185217182 277825773 370434364 463042955 555651546 740868728 926085910 1018694501 1111303092 1389128865 1852171820 2037389002 2222606184 2778257730 3056083503 3704343640 4074778004 5093472505 5556515460 6112167006 8149556008 10186945010 11113030920 12224334012 15280417515 20373890020 24448668024 30560835030 40747780040 61121670060 122243340120