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20011201011120 = 24351136353208511
BaseRepresentation
bin1001000110011001110001…
…00001110001110110110000
32121212001102000010211022110
410203030320201301312300
510110330414424323440
6110321004022405320
74133522134032654
oct443147041616660
977761360124273
1020011201011120
116415780309520
1222b237a890840
13b22081a5a977
144d2793ad4a64
1524a80d3ce080
hex123338871db0

20011201011120 has 160 divisors (see below), whose sum is σ = 67676429574144. Its totient is φ = 4851043532800.

The previous prime is 20011201011107. The next prime is 20011201011157. The reversal of 20011201011120 is 2111010211002.

It is a super-2 number, since 2×200112010111202 (a number of 27 digits) contains 22 as substring.

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 = 20011201011096 and 20011201011105.

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, 95867665 + ... + 96076175.

Almost surely, 220011201011120 is an apocalyptic number.

20011201011120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20011201011120 is an abundant number, since it is smaller than the sum of its proper divisors (47665228563024).

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

20011201011120 is a wasteful number, since it uses less digits than its factorization.

20011201011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244891 (or 244885 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 20011201011120 its reverse (2111010211002), we get a palindrome (22122211222122).

The spelling of 20011201011120 in words is "twenty trillion, eleven billion, two hundred one million, eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 36353 72706 109059 145412 181765 208511 218118 290824 363530 399883 417022 436236 545295 581648 625533 727060 799766 834044 872472 1042555 1090590 1199649 1251066 1454120 1599532 1668088 1744944 1999415 2085110 2181180 2293621 2399298 2502132 2908240 3127665 3199064 3336176 3998830 4170220 4362360 4587242 4798596 5004264 5998245 6255330 6398128 6880863 7997660 8340440 8724720 9174484 9597192 10008528 11468105 11996490 12510660 13761726 15995320 16680880 18348968 19194384 22936210 23992980 25021320 27523452 31990640 34404315 36697936 45872420 47985960 50042640 55046904 68808630 91744840 95971920 110093808 137617260 183489680 275234520 550469040 7580000383 15160000766 22740001149 30320001532 37900001915 45480002298 60640003064 75800003830 83380004213 90960004596 113700005745 121280006128 151600007660 166760008426 181920009192 227400011490 250140012639 303200015320 333520016852 363840018384 416900021065 454800022980 500280025278 606400030640 667040033704 833800042130 909600045960 1000560050556 1250700063195 1334080067408 1667600084260 1819200091920 2001120101112 2501400126390 3335200168520 4002240202224 5002800252780 6670400337040 10005600505560 20011201011120