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20122121102220 = 223251957493102337
BaseRepresentation
bin1001001001101000010111…
…11000010110001110001100
32122020122201012212021101200
410210310023320112032030
510114140101000232340
6110443550321105500
74144526630200524
oct444641370261614
978218635767350
1020122121102220
11645881a8636a5
12230b975788290
13b2c67aa66c77
144d7cb7184684
1524d651171330
hex124d0be1638c

20122121102220 has 144 divisors (see below), whose sum is σ = 64251325014240. Its totient is φ = 5083345133568.

The previous prime is 20122121102207. The next prime is 20122121102267. The reversal of 20122121102220 is 2220112122102.

It is a happy number.

20122121102220 is a `hidden beast` number, since 201 + 22 + 121 + 102 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20122121102193 and 20122121102202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 196574892 + ... + 196677228.

Almost surely, 220122121102220 is an apocalyptic number.

20122121102220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20122121102220 is an abundant number, since it is smaller than the sum of its proper divisors (44129203912020).

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

20122121102220 is a wasteful number, since it uses less digits than its factorization.

20122121102220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159864 (or 159859 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 20122121102220 its reverse (2220112122102), we get a palindrome (22342233224322).

The spelling of 20122121102220 in words is "twenty trillion, one hundred twenty-two billion, one hundred twenty-one million, one hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 57493 102337 114986 172479 204674 229972 287465 307011 344958 409348 511685 517437 574930 614022 689916 862395 921033 1023370 1034874 1092367 1149860 1228044 1535055 1724790 1842066 1944403 2046740 2069748 2184734 2587185 3070110 3277101 3449580 3684132 3888806 4369468 4605165 5174370 5461835 5833209 6140220 6554202 7777612 9210330 9722015 9831303 10348740 10923670 11666418 13108404 16385505 17499627 18420660 19444030 19662606 21847340 23332836 29166045 32771010 34999254 38888060 39325212 49156515 58332090 65542020 69998508 87498135 98313030 116664180 174996270 196626060 349992540 5883661141 11767322282 17650983423 23534644564 29418305705 35301966846 52952950269 58836611410 70603933692 88254917115 105905900538 111789561679 117673222820 176509834230 211811801076 223579123358 264764751345 335368685037 353019668460 447158246716 529529502690 558947808395 670737370074 1006106055111 1059059005380 1117895616790 1341474740148 1676843425185 2012212110222 2235791233580 3353686850370 4024424220444 5030530275555 6707373700740 10061060551110 20122121102220