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122020221120 = 2635718157771
BaseRepresentation
bin111000110100011111…
…0001101000011000000
3102122221210120110212220
41301220332031003000
53444344134033440
6132015540451040
711546526523620
oct1615076150300
9378853513786
10122020221120
1147826263156
121b7943a9a80
13b6778c1695
145c97786880
15329250e8d0
hex1c68f8d0c0

122020221120 has 112 divisors (see below), whose sum is σ = 442759112448. Its totient is φ = 27890334720.

The previous prime is 122020221109. The next prime is 122020221121. The reversal of 122020221120 is 21122020221.

It is a tau number, because it is divible by the number of its divisors (112).

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 122020221120.

It is not an unprimeable number, because it can be changed into a prime (122020221121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9072166 + ... + 9085605.

Almost surely, 2122020221120 is an apocalyptic number.

122020221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122020221120 is an abundant number, since it is smaller than the sum of its proper divisors (320738891328).

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

122020221120 is a wasteful number, since it uses less digits than its factorization.

122020221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18157798 (or 18157788 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 122020221120 its reverse (21122020221), we get a palindrome (143142241341).

The spelling of 122020221120 in words is "one hundred twenty-two billion, twenty million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 18157771 36315542 54473313 72631084 90788855 108946626 127104397 145262168 181577710 217893252 254208794 272366565 290524336 363155420 381313191 435786504 508417588 544733130 581048672 635521985 726310840 762626382 871573008 1016835176 1089466260 1162097344 1271043970 1452621680 1525252764 1743146016 1906565955 2033670352 2178932520 2542087940 2905243360 3050505528 3486292032 3813131910 4067340704 4357865040 5084175880 5810486720 6101011056 7626263820 8134681408 8715730080 10168351760 12202022112 15252527640 17431460160 20336703520 24404044224 30505055280 40673407040 61010110560 122020221120