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20121322213220 = 22541791372267227
BaseRepresentation
bin1001001001100110111000…
…10000110100111101100100
32122020120122112121111201012
410210303130100310331210
510114131431441310340
6110443335142121352
74144501056562214
oct444633420647544
978216575544635
1020121322213220
11645844a911558
12230b792120258
13b2c5813b2997
144d7c3d028244
1524d605e68565
hex124cdc434f64

20121322213220 has 96 divisors (see below), whose sum is σ = 44153267719680. Its totient is φ = 7696234690560.

The previous prime is 20121322213217. The next prime is 20121322213231. The reversal of 20121322213220 is 2231222312102.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7741247 + ... + 10008473.

It is an arithmetic number, because the mean of its divisors is an integer number (459929872080).

Almost surely, 220121322213220 is an apocalyptic number.

20121322213220 is a gapful number since it is divisible by the number (20) 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 20121322213220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22076633859840).

20121322213220 is an abundant number, since it is smaller than the sum of its proper divisors (24031945506460).

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

20121322213220 is a wasteful number, since it uses less digits than its factorization.

20121322213220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2267493 (or 2267491 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 20121322213220 its reverse (2231222312102), we get a palindrome (22352544525322).

The spelling of 20121322213220 in words is "twenty trillion, one hundred twenty-one billion, three hundred twenty-two million, two hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 41 79 82 137 158 164 205 274 316 395 410 548 685 790 820 1370 1580 2740 3239 5617 6478 10823 11234 12956 16195 21646 22468 28085 32390 43292 54115 56170 64780 108230 112340 216460 443743 887486 1774972 2218715 2267227 4437430 4534454 8874860 9068908 11336135 22672270 45344540 92956307 179110933 185912614 310610099 358221866 371825228 464781535 621220198 716443732 895554665 929563070 1242440396 1553050495 1791109330 1859126140 3106100990 3582218660 6212201980 7343548253 12735014059 14687096506 24538197821 25470028118 29374193012 36717741265 49076395642 50940056236 63675070295 73435482530 98152791284 122690989105 127350140590 146870965060 245381978210 254700281180 490763956420 1006066110661 2012132221322 4024264442644 5030330553305 10060661106610 20121322213220