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1222222120 = 235719317411
BaseRepresentation
bin100100011011001…
…1010000100101000
310011011211022112221
41020312122010220
510000342101440
6321140243424
742200500540
oct11066320450
93134738487
101222222120
11577a04629
122a13a0574
131662a5172
14b8476320
1572479d4a
hex48d9a128

1222222120 has 128 divisors (see below), whose sum is σ = 3415449600. Its totient is φ = 384134400.

The previous prime is 1222222103. The next prime is 1222222121. The reversal of 1222222120 is 212222221.

It is a junction number, because it is equal to n+sod(n) for n = 1222222094 and 1222222103.

It is not an unprimeable number, because it can be changed into a prime (1222222121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 161215 + ... + 168625.

It is an arithmetic number, because the mean of its divisors is an integer number (26683200).

Almost surely, 21222222120 is an apocalyptic number.

1222222120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1222222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1707724800).

1222222120 is an abundant number, since it is smaller than the sum of its proper divisors (2193227480).

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

1222222120 is a wasteful number, since it uses less digits than its factorization.

1222222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7479 (or 7475 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 1222222120 is about 34960.2934770291. The cubic root of 1222222120 is about 1069.1780801912.

Adding to 1222222120 its reverse (212222221), we get a palindrome (1434444341).

The spelling of 1222222120 in words is "one billion, two hundred twenty-two million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 31 35 38 40 56 62 70 76 95 124 133 140 152 155 190 217 248 266 280 310 380 434 532 589 620 665 760 868 1064 1085 1178 1240 1330 1736 2170 2356 2660 2945 4123 4340 4712 5320 5890 7411 8246 8680 11780 14822 16492 20615 23560 29644 32984 37055 41230 51877 59288 74110 82460 103754 140809 148220 164920 207508 229741 259385 281618 296440 415016 459482 518770 563236 704045 918964 985663 1037540 1126472 1148705 1408090 1608187 1837928 1971326 2075080 2297410 2816180 3216374 3942652 4365079 4594820 4928315 5632360 6432748 7885304 8040935 8730158 9189640 9856630 12865496 16081870 17460316 19713260 21825395 30555553 32163740 34920632 39426520 43650790 61111106 64327480 87301580 122222212 152777765 174603160 244444424 305555530 611111060 1222222120