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120122110001220 = 223517294060923259
BaseRepresentation
bin11011010100000000011011…
…101100100100000001000100
3120202022120011101021210222020
4123110000123230210001010
5111221040040130014340
61103251200250003140
734205351603106465
oct3324003354440104
9522276141253866
10120122110001220
1135302556578498
12115805777164b0
13520460a7c4172
142193d26706d6c
15dd49b999b9d0
hex6d401bb24044

120122110001220 has 96 divisors (see below), whose sum is σ = 368406958147200. Its totient is φ = 29108697913344.

The previous prime is 120122110001189. The next prime is 120122110001221. The reversal of 120122110001220 is 22100011221021.

It is a super-2 number, since 2×1201221100012202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 120122110001220.

It is not an unprimeable number, because it can be changed into a prime (120122110001221) 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 31 ways as a sum of consecutive naturals, for example, 2030432050 + ... + 2030491209.

It is an arithmetic number, because the mean of its divisors is an integer number (3837572480700).

Almost surely, 2120122110001220 is an apocalyptic number.

120122110001220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120122110001220 is an abundant number, since it is smaller than the sum of its proper divisors (248284848145980).

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

120122110001220 is a wasteful number, since it uses less digits than its factorization.

120122110001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4060923317 (or 4060923315 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 120122110001220 its reverse (22100011221021), we get a palindrome (142222121222241).

The spelling of 120122110001220 in words is "one hundred twenty trillion, one hundred twenty-two billion, one hundred ten million, one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 29 30 34 51 58 60 68 85 87 102 116 145 170 174 204 255 290 340 348 435 493 510 580 870 986 1020 1479 1740 1972 2465 2958 4930 5916 7395 9860 14790 29580 4060923259 8121846518 12182769777 16243693036 20304616295 24365539554 40609232590 48731079108 60913848885 69035695403 81218465180 117766774511 121827697770 138071390806 207107086209 235533549022 243655395540 276142781612 345178477015 353300323533 414214172418 471067098044 588833872555 690356954030 706600647066 828428344836 1035535431045 1177667745110 1380713908060 1413201294132 1766501617665 2002035166687 2071070862090 2355335490220 3533003235330 4004070333374 4142141724180 6006105500061 7066006470660 8008140666748 10010175833435 12012211000122 20020351666870 24024422000244 30030527500305 40040703333740 60061055000610 120122110001220