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122221220 = 225113117921
BaseRepresentation
bin1110100100011…
…11001010100100
322111222110222212
413102033022210
5222242034340
620043342552
73012602042
oct722171244
9274873885
10122221220
1162a99680
1234b21a58
131c423c64
1412337392
15aae3a65
hex748f2a4

122221220 has 48 divisors (see below), whose sum is σ = 289046016. Its totient is φ = 43008000.

The previous prime is 122221207. The next prime is 122221259. The reversal of 122221220 is 22122221.

It is a junction number, because it is equal to n+sod(n) for n = 122221195 and 122221204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2141 + ... + 15780.

It is an arithmetic number, because the mean of its divisors is an integer number (6021792).

Almost surely, 2122221220 is an apocalyptic number.

122221220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122221220 is an abundant number, since it is smaller than the sum of its proper divisors (166824796).

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

122221220 is a wasteful number, since it uses less digits than its factorization.

122221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17972 (or 17970 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 122221220 is about 11055.3706405529. The cubic root of 122221220 is about 496.2671611803.

Adding to 122221220 its reverse (22122221), we get a palindrome (144343441).

The spelling of 122221220 in words is "one hundred twenty-two million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 124 155 220 310 341 620 682 1364 1705 3410 6820 17921 35842 71684 89605 179210 197131 358420 394262 555551 788524 985655 1111102 1971310 2222204 2777755 3942620 5555510 6111061 11111020 12222122 24444244 30555305 61110610 122221220