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1020020112120 = 2335411091902029
BaseRepresentation
bin11101101011111011110…
…11111011101011111000
310121111211221210111101010
432311331323323223320
5113203000122041440
62100331334553520
7133460022616602
oct16657573735370
93544757714333
101020020112120
113636518414a9
1214582a8088a0
1375258b95929
1437525286172
151b7ee156580
hexed7defbaf8

1020020112120 has 128 divisors (see below), whose sum is σ = 3163456296000. Its totient is φ = 262936350720.

The previous prime is 1020020112113. The next prime is 1020020112157. The reversal of 1020020112120 is 212110200201.

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 = 1020020112096 and 1020020112105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 414735 + ... + 1487294.

Almost surely, 21020020112120 is an apocalyptic number.

1020020112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020020112120 is an abundant number, since it is smaller than the sum of its proper divisors (2143436183880).

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

1020020112120 is a wasteful number, since it uses less digits than its factorization.

1020020112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1902193 (or 1902189 counting only the distinct ones).

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

Adding to 1020020112120 its reverse (212110200201), we get a palindrome (1232130312321).

The spelling of 1020020112120 in words is "one trillion, twenty billion, twenty million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 109 120 123 164 205 218 246 327 328 410 436 492 545 615 654 820 872 984 1090 1230 1308 1635 1640 2180 2460 2616 3270 4360 4469 4920 6540 8938 13080 13407 17876 22345 26814 35752 44690 53628 67035 89380 107256 134070 178760 268140 536280 1902029 3804058 5706087 7608116 9510145 11412174 15216232 19020290 22824348 28530435 38040580 45648696 57060870 76081160 77983189 114121740 155966378 207321161 228243480 233949567 311932756 389915945 414642322 467899134 621963483 623865512 779831890 829284644 935798268 1036605805 1169747835 1243926966 1559663780 1658569288 1871596536 2073211610 2339495670 2487853932 3109817415 3119327560 4146423220 4678991340 4975707864 6219634830 8292846440 8500167601 9357982680 12439269660 17000335202 24878539320 25500502803 34000670404 42500838005 51001005606 68001340808 85001676010 102002011212 127502514015 170003352020 204004022424 255005028030 340006704040 510010056060 1020020112120