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12222020121000 = 233538291491377
BaseRepresentation
bin1011000111011010100100…
…1010101111000110101000
31121021102011121002211120220
42301312221022233012220
53100221144122333000
641554415111450040
72401004023630014
oct261665112570650
947242147084526
1012222020121000
113992369804908
121454861986920
136a86baa87251
1430379839b544
15162dc964a1a0
hexb1da92af1a8

12222020121000 has 128 divisors (see below), whose sum is σ = 38137379679360. Its totient is φ = 3258805632000.

The previous prime is 12222020120977. The next prime is 12222020121023. The reversal of 12222020121000 is 12102022221.

12222020121000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12222020120977) and next prime (12222020121023).

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 24627312 + ... + 25118688.

It is an arithmetic number, because the mean of its divisors is an integer number (297948278745).

Almost surely, 212222020121000 is an apocalyptic number.

12222020121000 is a gapful number since it is divisible by the number (10) 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 12222020121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19068689839680).

12222020121000 is an abundant number, since it is smaller than the sum of its proper divisors (25915359558360).

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

12222020121000 is a wasteful number, since it uses less digits than its factorization.

12222020121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499692 (or 499678 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 12222020121000 its reverse (12102022221), we get a palindrome (12234122143221).

The spelling of 12222020121000 in words is "twelve trillion, two hundred twenty-two billion, twenty million, one hundred twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 8291 16582 24873 33164 41455 49746 66328 82910 99492 124365 165820 198984 207275 248730 331640 414550 491377 497460 621825 829100 982754 994920 1036375 1243650 1474131 1658200 1965508 2072750 2456885 2487300 2948262 3109125 3931016 4145500 4913770 4974600 5896524 6218250 7370655 8291000 9827540 11793048 12284425 12436500 14741310 19655080 24568850 24873000 29482620 36853275 49137700 58965240 61422125 73706550 98275400 122844250 147413100 184266375 245688500 294826200 368532750 491377000 737065500 1474131000 4074006707 8148013414 12222020121 16296026828 20370033535 24444040242 32592053656 40740067070 48888080484 61110100605 81480134140 97776160968 101850167675 122220201210 162960268280 203700335350 244440402420 305550503025 407400670700 488880804840 509250838375 611101006050 814801341400 1018501676750 1222202012100 1527752515125 2037003353500 2444404024200 3055505030250 4074006707000 6111010060500 12222020121000