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20122011110120 = 23517472887218081
BaseRepresentation
bin1001001001101000001010…
…10100110000101011101000
32122020122102112220002121012
410210310011110300223220
510114134334321010440
6110443531351403052
74144524123241043
oct444640524605350
978218375802535
1020122011110120
116458773767a37
12230b944983488
13b2c66103539a
144d7ca6711c5a
1524d646695e65
hex124d05530ae8

20122011110120 has 128 divisors (see below), whose sum is σ = 48974866652160. Its totient is φ = 7411565690880.

The previous prime is 20122011110119. The next prime is 20122011110183. The reversal of 20122011110120 is 2101111022102.

It is a super-2 number, since 2×201220111101202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20122011110095 and 20122011110104.

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, 92159480 + ... + 92377560.

It is an arithmetic number, because the mean of its divisors is an integer number (382616145720).

Almost surely, 220122011110120 is an apocalyptic number.

20122011110120 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 20122011110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24487433326080).

20122011110120 is an abundant number, since it is smaller than the sum of its proper divisors (28852855542040).

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

20122011110120 is a wasteful number, since it uses less digits than its factorization.

20122011110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221043 (or 221039 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 20122011110120 its reverse (2101111022102), we get a palindrome (22223122132222).

The spelling of 20122011110120 in words is "twenty trillion, one hundred twenty-two billion, eleven million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 47 68 85 94 136 170 188 235 340 376 470 680 799 940 1598 1880 2887 3196 3995 5774 6392 7990 11548 14435 15980 23096 28870 31960 49079 57740 98158 115480 135689 196316 218081 245395 271378 392632 436162 490790 542756 678445 872324 981580 1085512 1090405 1356890 1744648 1963160 2180810 2306713 2713780 3707377 4361620 4613426 5427560 7414754 8723240 9226852 10249807 11533565 14829508 18453704 18536885 20499614 23067130 29659016 37073770 40999228 46134260 51249035 74147540 81998456 92268520 102498070 148295080 174246719 204996140 348493438 409992280 629599847 696986876 871233595 1259199694 1393973752 1742467190 2518399388 3147999235 3484934380 5036798776 6295998470 6969868760 10703197399 12591996940 21406394798 25183993880 29591192809 42812789596 53515986995 59182385618 85625579192 107031973990 118364771236 147955964045 214063947980 236729542472 295911928090 428127895960 503050277753 591823856180 1006100555506 1183647712360 2012201111012 2515251388765 4024402222024 5030502777530 10061005555060 20122011110120