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1220101201220 = 2251143195166107
BaseRepresentation
bin10001110000010011101…
…100101101110101000100
311022122021221122221012112
4101300103230231311010
5124442231401414340
62332301243040152
7154102150044146
oct21602354556504
94278257587175
101220101201220
11430495358090
12178569510058
138b093c36b05
14430a6034c96
1521b0e797065
hex11c13b2dd44

1220101201220 has 96 divisors (see below), whose sum is σ = 2861653487616. Its totient is φ = 433126512000.

The previous prime is 1220101201201. The next prime is 1220101201279. The reversal of 1220101201220 is 221021010221.

It is a junction number, because it is equal to n+sod(n) for n = 1220101201195 and 1220101201204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18423407 + ... + 18489513.

It is an arithmetic number, because the mean of its divisors is an integer number (29808890496).

Almost surely, 21220101201220 is an apocalyptic number.

1220101201220 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 1220101201220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1430826743808).

1220101201220 is an abundant number, since it is smaller than the sum of its proper divisors (1641552286396).

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

1220101201220 is a wasteful number, since it uses less digits than its factorization.

1220101201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68121 (or 68119 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1220101201220 its reverse (221021010221), we get a palindrome (1441122211441).

The spelling of 1220101201220 in words is "one trillion, two hundred twenty billion, one hundred one million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 43 44 55 86 110 172 215 220 430 473 860 946 1892 1951 2365 3902 4730 7804 9460 9755 19510 21461 39020 42922 66107 83893 85844 107305 132214 167786 214610 264428 330535 335572 419465 429220 661070 727177 838930 922823 1322140 1454354 1677860 1845646 2842601 2908708 3635885 3691292 4614115 5685202 7271770 9228230 11370404 14213005 14543540 18456460 28426010 31268611 56852020 62537222 125074444 128974757 156343055 257949514 312686110 515899028 625372220 644873785 1289747570 1418722327 2579495140 2837444654 5545914551 5674889308 7093611635 11091829102 14187223270 22183658204 27729572755 28374446540 55459145510 61005060061 110918291020 122010120122 244020240244 305025300305 610050600610 1220101201220