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1222030444120 = 235236748740709
BaseRepresentation
bin10001110010000110101…
…100001100011001011000
311022211021101212121221021
4101302012230030121120
5130010204243202440
62333220521252224
7154201024250053
oct21620654143130
94284241777837
101222030444120
11431295366902
12178a07634074
138b310838b65
144320a351a9a
1521bc3d2e84a
hex11c86b0c658

1222030444120 has 128 divisors (see below), whose sum is σ = 2917988582400. Its totient is φ = 459623932416.

The previous prime is 1222030444111. The next prime is 1222030444133. The reversal of 1222030444120 is 214440302221.

It is a super-2 number, since 2×12220304441202 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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, 29998326 + ... + 30039034.

It is an arithmetic number, because the mean of its divisors is an integer number (22796785800).

Almost surely, 21222030444120 is an apocalyptic number.

1222030444120 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 1222030444120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1458994291200).

1222030444120 is an abundant number, since it is smaller than the sum of its proper divisors (1695958138280).

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

1222030444120 is a wasteful number, since it uses less digits than its factorization.

1222030444120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41297 (or 41293 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 1222030444120 its reverse (214440302221), we get a palindrome (1436470746341).

The spelling of 1222030444120 in words is "one trillion, two hundred twenty-two billion, thirty million, four hundred forty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 67 92 115 134 184 230 268 335 460 487 536 670 920 974 1340 1541 1948 2435 2680 3082 3896 4870 6164 7705 9740 11201 12328 15410 19480 22402 30820 32629 40709 44804 56005 61640 65258 81418 89608 112010 130516 162836 163145 203545 224020 261032 325672 326290 407090 448040 652580 750467 814180 936307 1305160 1500934 1628360 1872614 2727503 3001868 3745228 3752335 4681535 5455006 6003736 7490456 7504670 9363070 10910012 13637515 15009340 18726140 19825283 21820024 27275030 30018680 37452280 39650566 54550060 62732569 79301132 99126415 109100120 125465138 158602264 198252830 250930276 313662845 396505660 455981509 501860552 627325690 793011320 911963018 1254651380 1328293961 1823926036 2279907545 2509302760 2656587922 3647852072 4559815090 5313175844 6641469805 9119630180 10626351688 13282939610 18239260360 26565879220 30550761103 53131758440 61101522206 122203044412 152753805515 244406088824 305507611030 611015222060 1222030444120