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1211330110120 = 2351317934914657
BaseRepresentation
bin10001101000001000111…
…001101010001010101000
311021210122200022100011121
4101220020321222022220
5124321301002010440
62324251040105024
7153341614023034
oct21501071521250
94253580270147
101211330110120
114277a42a4569
12176920005174
138a2c6a23290
14428b31a91c4
152179973534a
hex11a08e6a2a8

1211330110120 has 128 divisors (see below), whose sum is σ = 3108346164000. Its totient is φ = 420877172736.

The previous prime is 1211330110117. The next prime is 1211330110163. The reversal of 1211330110120 is 210110331121.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 670790484324 + 540539625796 = 819018^2 + 735214^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1211330110094 and 1211330110103.

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, 82637832 + ... + 82652488.

Almost surely, 21211330110120 is an apocalyptic number.

1211330110120 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 1211330110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1554173082000).

1211330110120 is an abundant number, since it is smaller than the sum of its proper divisors (1897016053880).

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

1211330110120 is a wasteful number, since it uses less digits than its factorization.

1211330110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24047 (or 24043 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 1211330110120 its reverse (210110331121), we get a palindrome (1421440441241).

The spelling of 1211330110120 in words is "one trillion, two hundred eleven billion, three hundred thirty million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 17 20 26 34 40 52 65 68 85 104 130 136 170 221 260 340 442 520 680 884 1105 1768 2210 4420 8840 9349 14657 18698 29314 37396 46745 58628 73285 74792 93490 117256 121537 146570 158933 186980 190541 243074 249169 293140 317866 373960 381082 486148 498338 586280 607685 635732 762164 794665 952705 972296 996676 1215370 1245845 1271464 1524328 1589330 1905410 1993352 2066129 2430740 2491690 3178660 3239197 3810820 4132258 4861480 4983380 6357320 6478394 7621640 8264516 9966760 10330645 12956788 16195985 16529032 20661290 25913576 32391970 41322580 64783940 82645160 129567880 137028293 274056586 548113172 685141465 1096226344 1370282930 1781367809 2329480981 2740565860 3562735618 4658961962 5481131720 7125471236 8906839045 9317923924 11647404905 14250942472 17813678090 18635847848 23294809810 30283252753 35627356180 46589619620 60566505506 71254712360 93179239240 121133011012 151416263765 242266022024 302832527530 605665055060 1211330110120