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122221001220 = 223517467925609
BaseRepresentation
bin111000111010011110…
…0000111101000000100
3102200110210101011101220
41301310330013220010
54000302034014340
6132051512120340
711554515240423
oct1616474075004
9380423334356
10122221001220
114791962921a
121b82b6960b0
13b6aa38ca86
145cb62cd2ba
1532a4e6eed0
hex1c74f07a04

122221001220 has 96 divisors (see below), whose sum is σ = 362440915200. Its totient is φ = 30667321344.

The previous prime is 122221001219. The next prime is 122221001267. The reversal of 122221001220 is 22100122221.

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 122221001220.

It is an unprimeable number.

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, 4759776 + ... + 4785384.

It is an arithmetic number, because the mean of its divisors is an integer number (3775426200).

Almost surely, 2122221001220 is an apocalyptic number.

122221001220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122221001220 is an abundant number, since it is smaller than the sum of its proper divisors (240219913980).

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

122221001220 is a wasteful number, since it uses less digits than its factorization.

122221001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30317 (or 30315 counting only the distinct ones).

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

Adding to 122221001220 its reverse (22100122221), we get a palindrome (144321123441).

The spelling of 122221001220 in words is "one hundred twenty-two billion, two hundred twenty-one million, one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 4679 9358 14037 18716 23395 25609 28074 46790 51218 56148 70185 76827 79543 93580 102436 128045 140370 153654 159086 238629 256090 280740 307308 318172 384135 397715 435353 477258 512180 768270 795430 870706 954516 1193145 1306059 1536540 1590860 1741412 2176765 2386290 2612118 4353530 4772580 5224236 6530295 8707060 13060590 26121180 119824511 239649022 359473533 479298044 599122555 718947066 1198245110 1437894132 1797367665 2037016687 2396490220 3594735330 4074033374 6111050061 7189470660 8148066748 10185083435 12222100122 20370166870 24444200244 30555250305 40740333740 61110500610 122221001220