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20001102012120 = 2335479736559739
BaseRepresentation
bin1001000110000110111101…
…00101001001111011011000
32121211002100012002112002110
410203003132211021323120
510110144224103341440
6110312213542032320
74133013644665125
oct443033645117330
977732305075073
1020001102012120
116411468727059
1222b04207186a0
13b211326ba508
144d20b676174c
1524a41b9b8080
hex1230de949ed8

20001102012120 has 128 divisors (see below), whose sum is σ = 61911726105600. Its totient is φ = 5166329696256.

The previous prime is 20001102012119. The next prime is 20001102012169. The reversal of 20001102012120 is 2121020110002.

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 = 20001102012096 and 20001102012105.

It is a congruent 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, 17732790 + ... + 18826949.

It is an arithmetic number, because the mean of its divisors is an integer number (483685360200).

Almost surely, 220001102012120 is an apocalyptic number.

20001102012120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20001102012120 is an abundant number, since it is smaller than the sum of its proper divisors (41910624093480).

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

20001102012120 is a wasteful number, since it uses less digits than its factorization.

20001102012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36559897 (or 36559893 counting only the distinct ones).

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

Adding to 20001102012120 its reverse (2121020110002), we get a palindrome (22122122122122).

The spelling of 20001102012120 in words is "twenty trillion, one billion, one hundred two million, twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 94 97 120 141 188 194 235 282 291 376 388 470 485 564 582 705 776 940 970 1128 1164 1410 1455 1880 1940 2328 2820 2910 3880 4559 5640 5820 9118 11640 13677 18236 22795 27354 36472 45590 54708 68385 91180 109416 136770 182360 273540 547080 36559739 73119478 109679217 146238956 182798695 219358434 292477912 365597390 438716868 548396085 731194780 877433736 1096792170 1462389560 1718307733 2193584340 3436615466 3546294683 4387168680 5154923199 6873230932 7092589366 8591538665 10309846398 10638884049 13746461864 14185178732 17183077330 17731473415 20619692796 21277768098 25774615995 28370357464 34366154660 35462946830 41239385592 42555536196 51549231990 53194420245 68732309320 70925893660 85111072392 103098463980 106388840490 141851787320 166675850101 206196927960 212777680980 333351700202 425555361960 500027550303 666703400404 833379250505 1000055100606 1333406800808 1666758501010 2000110201212 2500137751515 3333517002020 4000220402424 5000275503030 6667034004040 10000551006060 20001102012120