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20112121220220 = 223251091995151169
BaseRepresentation
bin1001001001010101101111…
…10101110100110001111100
32122012200220022022122010200
410210222313311310301330
510114004111013021340
6110435214141003500
74144024053456561
oct444526765646174
978180808278120
1020112121220220
11645455911a307
122309a44853590
13b2b7460bb423
144d7609052868
1524d2682d8330
hex124ab7d74c7c

20112121220220 has 144 divisors (see below), whose sum is σ = 61875854040000. Its totient is φ = 5287323672576.

The previous prime is 20112121220183. The next prime is 20112121220353. The reversal of 20112121220220 is 2202212121102.

It is a happy number.

20112121220220 is a `hidden beast` number, since 2 + 0 + 11 + 212 + 1 + 220 + 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 = 20112121220193 and 20112121220202.

It is a congruent number.

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, 1328796 + ... + 6479964.

Almost surely, 220112121220220 is an apocalyptic number.

20112121220220 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 20112121220220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30937927020000).

20112121220220 is an abundant number, since it is smaller than the sum of its proper divisors (41763732819780).

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

20112121220220 is a wasteful number, since it uses less digits than its factorization.

20112121220220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5151492 (or 5151487 counting only the distinct ones).

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

Adding to 20112121220220 its reverse (2202212121102), we get a palindrome (22314333341322).

The spelling of 20112121220220 in words is "twenty trillion, one hundred twelve billion, one hundred twenty-one million, two hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 109 180 199 218 327 398 436 545 597 654 796 981 995 1090 1194 1308 1635 1791 1962 1990 2180 2388 2985 3270 3582 3924 3980 4905 5970 6540 7164 8955 9810 11940 17910 19620 21691 35820 43382 65073 86764 108455 130146 195219 216910 260292 325365 390438 433820 650730 780876 976095 1301460 1952190 3904380 5151169 10302338 15453507 20604676 25755845 30907014 46360521 51511690 61814028 77267535 92721042 103023380 154535070 185442084 231802605 309070140 463605210 561477421 927210420 1025082631 1122954842 1684432263 2050165262 2245909684 2807387105 3075247893 3368864526 4100330524 5053296789 5125413155 5614774210 6150495786 6737729052 8422161315 9225743679 10106593578 10250826310 11229548420 12300991572 15376239465 16844322630 18451487358 20213187156 20501652620 25266483945 30752478930 33688645260 36902974716 46128718395 50532967890 61504957860 92257436790 101065935780 111734006779 184514873580 223468013558 335202020337 446936027116 558670033895 670404040674 1005606061011 1117340067790 1340808081348 1676010101685 2011212122022 2234680135580 3352020203370 4022424244044 5028030305055 6704040406740 10056060610110 20112121220220