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1222002120 = 233597277379
BaseRepresentation
bin100100011010110…
…0100010111001000
310011011102010202210
41020311210113020
510000313031440
6321131425120
742165563253
oct11065442710
93134363683
101222002120
11577874309
122a12b51a0
13166228ca1
14b841a09a
1572434a80
hex48d645c8

1222002120 has 128 divisors (see below), whose sum is σ = 3726979200. Its totient is φ = 320495616.

The previous prime is 1222002107. The next prime is 1222002137. The reversal of 1222002120 is 212002221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1222002096 and 1222002105.

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 31 ways as a sum of consecutive naturals, for example, 3224091 + ... + 3224469.

It is an arithmetic number, because the mean of its divisors is an integer number (29117025).

Almost surely, 21222002120 is an apocalyptic number.

1222002120 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 1222002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1863489600).

1222002120 is an abundant number, since it is smaller than the sum of its proper divisors (2504977080).

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

1222002120 is a wasteful number, since it uses less digits than its factorization.

1222002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 1222002120 is about 34957.1469087510. The cubic root of 1222002120 is about 1069.1139256516.

Adding to 1222002120 its reverse (212002221), we get a palindrome (1434004341).

The spelling of 1222002120 in words is "one billion, two hundred twenty-two million, two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 97 120 194 277 291 379 388 485 554 582 758 776 831 970 1108 1137 1164 1385 1455 1516 1662 1895 1940 2216 2274 2328 2770 2910 3032 3324 3790 3880 4155 4548 5540 5685 5820 6648 7580 8310 9096 11080 11370 11640 15160 16620 22740 26869 33240 36763 45480 53738 73526 80607 104983 107476 110289 134345 147052 161214 183815 209966 214952 220578 268690 294104 314949 322428 367630 403035 419932 441156 524915 537380 551445 629898 644856 735260 806070 839864 882312 1049830 1074760 1102890 1259796 1470520 1574745 1612140 2099660 2205780 2519592 3149490 3224280 4199320 4411560 6298980 10183351 12597960 20366702 30550053 40733404 50916755 61100106 81466808 101833510 122200212 152750265 203667020 244400424 305500530 407334040 611001060 1222002120