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21221201021200 = 2452671017839959
BaseRepresentation
bin1001101001100111100100…
…01001100000100100010000
32210010201121222122002020121
410310303302021200210100
510240142004430134300
6113044515110120024
74320116100312235
oct464636211404420
983121558562217
1021221201021200
116841951817154
122468989350014
13bac1c60375ab
1453517c38578c
1526c02ae7a81a
hex134cf2260910

21221201021200 has 120 divisors (see below), whose sum is σ = 52257222020160. Its totient is φ = 8278995648000.

The previous prime is 21221201021183. The next prime is 21221201021203. The reversal of 21221201021200 is 212010212212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (21221201021203) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1213180 + ... + 6626779.

It is an arithmetic number, because the mean of its divisors is an integer number (435476850168).

Almost surely, 221221201021200 is an apocalyptic number.

21221201021200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21221201021200 is an abundant number, since it is smaller than the sum of its proper divisors (31036020998960).

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

21221201021200 is a wasteful number, since it uses less digits than its factorization.

21221201021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7840145 (or 7840134 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 21221201021200 its reverse (212010212212), we get a palindrome (21433211233412).

The spelling of 21221201021200 in words is "twenty-one trillion, two hundred twenty-one billion, two hundred one million, twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 67 80 100 101 134 200 202 268 335 400 404 505 536 670 808 1010 1072 1340 1616 1675 2020 2525 2680 3350 4040 5050 5360 6700 6767 8080 10100 13400 13534 20200 26800 27068 33835 40400 54136 67670 108272 135340 169175 270680 338350 541360 676700 1353400 2706800 7839959 15679918 31359836 39199795 62719672 78399590 125439344 156799180 195998975 313598360 391997950 525277253 627196720 783995900 791835859 1050554506 1567991800 1583671718 2101109012 2626386265 3135983600 3167343436 3959179295 4202218024 5252772530 6334686872 7918358590 8404436048 10505545060 12669373744 13131931325 15836717180 19795896475 21011090120 26263862650 31673434360 39591792950 42022180240 52527725300 53053002553 63346868720 79183585900 105055450600 106106005106 158367171800 210110901200 212212010212 265265012765 316734343600 424424020424 530530025530 848848040848 1061060051060 1326325063825 2122120102120 2652650127650 4244240204240 5305300255300 10610600510600 21221201021200