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1220000020120 = 235710134229
BaseRepresentation
bin10001110000001101101…
…010101111011010011000
311022122000220021101211101
4101300031222233122120
5124442030001120440
62332243230241144
7154066511032420
oct21601552573230
94278026241741
101220000020120
1143044322a242
1217853b6561b4
138b078c9b83b
1443096817480
1521b0595c69a
hex11c0daaf698

1220000020120 has 128 divisors (see below), whose sum is σ = 3169263542400. Its totient is φ = 414046348800.

The previous prime is 1220000020097. The next prime is 1220000020121. The reversal of 1220000020120 is 210200000221.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1220000020097 and 1220000020106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220000020121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 288482166 + ... + 288486394.

It is an arithmetic number, because the mean of its divisors is an integer number (24759871425).

Almost surely, 21220000020120 is an apocalyptic number.

1220000020120 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 1220000020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1584631771200).

1220000020120 is an abundant number, since it is smaller than the sum of its proper divisors (1949263522280).

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

1220000020120 is an frugal number, since it uses more digits than its factorization.

1220000020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4550 (or 4344 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 1220000020120 its reverse (210200000221), we get a palindrome (1430200020341).

It can be divided in two parts, 12200000201 and 20, that added together give a palindrome (12200000221).

The spelling of 1220000020120 in words is "one trillion, two hundred twenty billion, twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 101 140 202 280 404 505 707 808 1010 1414 2020 2828 3535 4040 4229 5656 7070 8458 10201 14140 16916 20402 21145 28280 29603 33832 40804 42290 51005 59206 71407 81608 84580 102010 118412 142814 148015 169160 204020 236824 285628 296030 357035 408040 427129 571256 592060 714070 854258 1030301 1184120 1428140 1708516 2060602 2135645 2856280 2989903 3417032 4121204 4271290 5151505 5979806 7212107 8242408 8542580 10303010 11959612 14424214 14949515 17085160 20606020 23919224 28848428 29899030 36060535 41212040 43140029 57696856 59798060 72121070 86280058 119596120 144242140 172560116 215700145 288484280 301980203 345120232 431400290 603960406 862800580 1207920812 1509901015 1725601160 2415841624 3019802030 4357142929 6039604060 8714285858 12079208120 17428571716 21785714645 30500000503 34857143432 43571429290 61000001006 87142858580 122000002012 152500002515 174285717160 244000004024 305000005030 610000010060 1220000020120