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221020001220000 = 253543683666687
BaseRepresentation
bin110010010000010000111010…
…101010010011010110100000
31001222120022020220100020111010
4302100100322222103112200
5212432142430303020000
62102023104205420520
764361111445553263
oct6220207252232640
91058508226306433
10221020001220000
1164473068788964
12209571a726a740
139643134552468
143c815d480acda
151a84386598d50
hexc9043aa935a0

221020001220000 has 120 divisors (see below), whose sum is σ = 724989808198656. Its totient is φ = 58938666976000.

The previous prime is 221020001219981. The next prime is 221020001220013. The reversal of 221020001220000 is 22100020122.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

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 19 ways as a sum of consecutive naturals, for example, 1841773344 + ... + 1841893343.

Almost surely, 2221020001220000 is an apocalyptic number.

221020001220000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221020001220000 is an abundant number, since it is smaller than the sum of its proper divisors (503969806978656).

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

221020001220000 is an equidigital number, since it uses as much as digits as its factorization.

221020001220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3683666720 (or 3683666697 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 221020001220000 its reverse (22100020122), we get a palindrome (221042101240122).

The spelling of 221020001220000 in words is "two hundred twenty-one trillion, twenty billion, one million, two hundred twenty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3750 4000 5000 6000 7500 10000 12000 15000 20000 30000 60000 3683666687 7367333374 11051000061 14734666748 18418333435 22102000122 29469333496 36836666870 44204000244 55255000305 58938666992 73673333740 88408000488 92091667175 110510000610 117877333984 147346667480 176816000976 184183334350 221020001220 276275001525 294693334960 353632001952 368366668700 442040002440 460458335875 552550003050 589386669920 736733337400 884080004880 920916671750 1105100006100 1381375007625 1473466674800 1768160009760 1841833343500 2210200012200 2302291679375 2762750015250 2946933349600 3683666687000 4420400024400 4604583358750 5525500030500 6906875038125 7367333374000 8840800048800 9209166717500 11051000061000 13813750076250 14734666748000 18418333435000 22102000122000 27627500152500 36836666870000 44204000244000 55255000305000 73673333740000 110510000610000 221020001220000