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20221211120020 = 22517374139205109
BaseRepresentation
bin1001001100100000111100…
…00110110001000110010100
32122121010110222012201201221
410212100132012301012110
510122301020021320040
6111001255100100124
74154635314353641
oct446203606610624
978533428181657
1020221211120020
116496849569699
12232700a834644
13b38b0cb965b1
144dc9d740adc8
1525100055b74a
hex12641e1b1194

20221211120020 has 96 divisors (see below), whose sum is σ = 47303944803360. Its totient is φ = 7226285506560.

The previous prime is 20221211119937. The next prime is 20221211120021. The reversal of 20221211120020 is 2002111212202.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 4410949251076 + 15810261868944 = 2100226^2 + 3976212^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20221211119976 and 20221211120003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20221211120021) 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, 19086775 + ... + 20118334.

It is an arithmetic number, because the mean of its divisors is an integer number (492749425035).

Almost surely, 220221211120020 is an apocalyptic number.

20221211120020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20221211120020 is an abundant number, since it is smaller than the sum of its proper divisors (27082733683340).

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

20221211120020 is a wasteful number, since it uses less digits than its factorization.

20221211120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39205213 (or 39205211 counting only the distinct ones).

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

Adding to 20221211120020 its reverse (2002111212202), we get a palindrome (22223322332222).

The spelling of 20221211120020 in words is "twenty trillion, two hundred twenty-one billion, two hundred eleven million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 37 41 68 74 82 85 148 164 170 185 205 340 370 410 629 697 740 820 1258 1394 1517 2516 2788 3034 3145 3485 6068 6290 6970 7585 12580 13940 15170 25789 30340 51578 103156 128945 257890 515780 39205109 78410218 156820436 196025545 392051090 666486853 784102180 1332973706 1450589033 1607409469 2665947412 2901178066 3214818938 3332434265 5802356132 6429637876 6664868530 7252945165 8037047345 13329737060 14505890330 16074094690 24660013561 27325960973 29011780660 32148189380 49320027122 54651921946 59474150353 98640054244 109303843892 118948300706 123300067805 136629804865 237896601412 246600135610 273259609730 297370751765 493200271220 546519219460 594741503530 1011060556001 1189483007060 2022121112002 4044242224004 5055302780005 10110605560010 20221211120020