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20211222010120 = 23517433463199601
BaseRepresentation
bin1001001100001110010101…
…01101010101100100001000
32122120011200210221101000121
410212013022231111210020
510122120040313310440
6110552523542513024
74154132631336361
oct446071255254410
978504623841017
1020211222010120
116492592a12569
1223250a1435774
13b37baa51cb8b
144dc32a8c0b68
15250b1860034a
hex1261cab55908

20211222010120 has 128 divisors (see below), whose sum is σ = 49284512259840. Its totient is φ = 7429795430400.

The previous prime is 20211222010099. The next prime is 20211222010121. The reversal of 20211222010120 is 2101022211202.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 20211222010094 and 20211222010103.

It is not an unprimeable number, because it can be changed into a prime (20211222010121) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 101158320 + ... + 101357920.

It is an arithmetic number, because the mean of its divisors is an integer number (385035252030).

Almost surely, 220211222010120 is an apocalyptic number.

20211222010120 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 20211222010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24642256129920).

20211222010120 is an abundant number, since it is smaller than the sum of its proper divisors (29073290249720).

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

20211222010120 is a wasteful number, since it uses less digits than its factorization.

20211222010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203135 (or 203131 counting only the distinct ones).

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

Adding to 20211222010120 its reverse (2101022211202), we get a palindrome (22312244221322).

The spelling of 20211222010120 in words is "twenty trillion, two hundred eleven billion, two hundred twenty-two million, ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 43 68 85 86 136 170 172 215 340 344 430 680 731 860 1462 1720 2924 3463 3655 5848 6926 7310 13852 14620 17315 27704 29240 34630 58871 69260 117742 138520 148909 199601 235484 294355 297818 399202 470968 588710 595636 744545 798404 998005 1177420 1191272 1489090 1596808 1996010 2354840 2531453 2978180 3393217 3992020 5062906 5956360 6786434 7984040 8582843 10125812 12657265 13572868 16966085 17165686 20251624 25314530 27145736 33932170 34331372 42914215 50629060 67864340 68662744 85828430 101258120 135728680 145908331 171656860 291816662 343313720 583633324 691218263 729541655 1167266648 1382436526 1459083310 2764873052 2918166620 3456091315 5529746104 5836333240 6912182630 11750710471 13824365260 23501420942 27648730520 29722385309 47002841884 58753552355 59444770618 94005683768 117507104710 118889541236 148611926545 235014209420 237779082472 297223853090 470028418840 505280550253 594447706180 1010561100506 1188895412360 2021122201012 2526402751265 4042244402024 5052805502530 10105611005060 20211222010120