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122230031120120 = 235711181121913349
BaseRepresentation
bin11011110010101011100101…
…100101011111011011111000
3121000210002002000202112120002
4123302223211211133123320
5112010104100431320440
61111543411235052132
734513554055020260
oct3362534545373370
9530702060675502
10122230031120120
1135a45513045230
1211860bba141048
13532831c950071
142227d7222a7a0
15e1e73c2cc115
hex6f2ae595f6f8

122230031120120 has 128 divisors (see below), whose sum is σ = 343068395328000. Its totient is φ = 38076633484800.

The previous prime is 122230031120101. The next prime is 122230031120123. The reversal of 122230031120120 is 21021130032221.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 122230031120092 and 122230031120101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122230031120123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5378795 + ... + 16534554.

It is an arithmetic number, because the mean of its divisors is an integer number (2680221838500).

Almost surely, 2122230031120120 is an apocalyptic number.

122230031120120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122230031120120 is an abundant number, since it is smaller than the sum of its proper divisors (220838364207880).

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

122230031120120 is a wasteful number, since it uses less digits than its factorization.

122230031120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21915189 (or 21915185 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 122230031120120 its reverse (21021130032221), we get a palindrome (143251161152341).

The spelling of 122230031120120 in words is "one hundred twenty-two trillion, two hundred thirty billion, thirty-one million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 1811 3080 3622 7244 9055 12677 14488 18110 19921 25354 36220 39842 50708 63385 72440 79684 99605 101416 126770 139447 159368 199210 253540 278894 398420 507080 557788 697235 796840 1115576 1394470 2788940 5577880 21913349 43826698 87653396 109566745 153393443 175306792 219133490 241046839 306786886 438266980 482093678 613573772 766967215 876533960 964187356 1205234195 1227147544 1533934430 1687327873 1928374712 2410468390 3067868860 3374655746 4820936780 6135737720 6749311492 8436639365 9641873560 13498622984 16873278730 33746557460 39685075039 67493114920 79370150078 158740300156 198425375195 277795525273 317480600312 396850750390 436535825429 555591050546 793701500780 873071650858 1111182101092 1388977626365 1587403001560 1746143301716 2182679127145 2222364202184 2777955252730 3055750778003 3492286603432 4365358254290 5555910505460 6111501556006 8730716508580 11111821010920 12223003112012 15278753890015 17461433017160 24446006224024 30557507780030 61115015560060 122230031120120