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120010210000220 = 225175872101128619
BaseRepresentation
bin11011010010011000001101…
…111011111011110101011100
3120201220212022212200210012202
4123102120031323323311130
5111212221402230001340
61103123532424351032
734164310610563511
oct3322301573736534
9521825285623182
10120010210000220
113526a053981521
1211562948615478
1351c6bb6793117
14218c74d059308
15dd1b1ab95c15
hex6d260defbd5c

120010210000220 has 96 divisors (see below), whose sum is σ = 267322887256320. Its totient is φ = 45099623613440.

The previous prime is 120010210000193. The next prime is 120010210000259. The reversal of 120010210000220 is 22000012010021.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4193361071 + ... + 4193389689.

It is an arithmetic number, because the mean of its divisors is an integer number (2784613408920).

Almost surely, 2120010210000220 is an apocalyptic number.

120010210000220 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 120010210000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133661443628160).

120010210000220 is an abundant number, since it is smaller than the sum of its proper divisors (147312677256100).

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

120010210000220 is a wasteful number, since it uses less digits than its factorization.

120010210000220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50243 (or 50241 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 120010210000220 its reverse (22000012010021), we get a palindrome (142010222010241).

The spelling of 120010210000220 in words is "one hundred twenty trillion, ten billion, two hundred ten million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 587 1174 2348 2935 5870 9979 11740 19958 21011 28619 39916 42022 49895 57238 84044 99790 105055 114476 143095 199580 210110 286190 357187 420220 486523 572380 714374 973046 1428748 1785935 1946092 2432615 3571870 4865230 7143740 9730460 12333457 16799353 24666914 33598706 49333828 61667285 67197412 83996765 123334570 167993530 209668769 246669140 285589001 335987060 419337538 571178002 601313809 838675076 1048343845 1142356004 1202627618 1427945005 2096687690 2405255236 2855890010 3006569045 4193375380 5711780020 6013138090 10222334753 12026276180 20444669506 40889339012 51111673765 102223347530 204446695060 352971205883 705942411766 1411884823532 1764856029415 3529712058830 6000510500011 7059424117660 12001021000022 24002042000044 30002552500055 60005105000110 120010210000220