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20011221120 = 273511947501
BaseRepresentation
bin10010101000110000…
…110000000010000000
31220122121122100201210
4102220300300002000
5311440333033440
613105405530120
71305616400352
oct225060600200
956577570653
1020011221120
1185398a3680
123a65873940
131b6bb06257
14d7b9a70d2
157c1c35a80
hex4a8c30080

20011221120 has 128 divisors (see below), whose sum is σ = 69584546880. Its totient is φ = 4851200000.

The previous prime is 20011221107. The next prime is 20011221127. The reversal of 20011221120 is 2112211002.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a junction number, because it is equal to n+sod(n) for n = 20011221096 and 20011221105.

It is not an unprimeable number, because it can be changed into a prime (20011221127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 452631 + ... + 494870.

Almost surely, 220011221120 is an apocalyptic number.

20011221120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20011221120 is an abundant number, since it is smaller than the sum of its proper divisors (49573325760).

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

20011221120 is a wasteful number, since it uses less digits than its factorization.

20011221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947534 (or 947522 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20011221120 its reverse (2112211002), we get a palindrome (22123432122).

The spelling of 20011221120 in words is "twenty billion, eleven million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 264 320 330 352 384 440 480 528 640 660 704 880 960 1056 1320 1408 1760 1920 2112 2640 3520 4224 5280 7040 10560 21120 947501 1895002 2842503 3790004 4737505 5685006 7580008 9475010 10422511 11370012 14212515 15160016 18950020 20845022 22740024 28425030 30320032 31267533 37900040 41690044 45480048 52112555 56850060 60640064 62535066 75800080 83380088 90960096 104225110 113700120 121280128 125070132 151600160 156337665 166760176 181920192 208450220 227400240 250140264 303200320 312675330 333520352 363840384 416900440 454800480 500280528 606400640 625350660 667040704 833800880 909600960 1000561056 1250701320 1334081408 1667601760 1819201920 2001122112 2501402640 3335203520 4002244224 5002805280 6670407040 10005610560 20011221120