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20121434124 = 223112172928109
BaseRepresentation
bin10010101111010101…
…001011100000001100
31220221022000202112220
4102233111023200030
5312202041342444
613124344055340
71311425240151
oct225725134014
956838022486
1020121434124
118596030300
123a96764550
131b888b454c
14d8c496228
157cb756619
hex4af54b80c

20121434124 has 144 divisors (see below), whose sum is σ = 56528085600. Its totient is φ = 5540648960.

The previous prime is 20121434119. The next prime is 20121434143. The reversal of 20121434124 is 42143412102.

It is a super-2 number, since 2×201214341242 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20121434094 and 20121434103.

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, 701782 + ... + 729890.

It is an arithmetic number, because the mean of its divisors is an integer number (392556150).

Almost surely, 220121434124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20121434124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28264042800).

20121434124 is an abundant number, since it is smaller than the sum of its proper divisors (36406651476).

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

20121434124 is a wasteful number, since it uses less digits than its factorization.

20121434124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28184 (or 28171 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 20121434124 its reverse (42143412102), we get a palindrome (62264846226).

The spelling of 20121434124 in words is "twenty billion, one hundred twenty-one million, four hundred thirty-four thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 17 22 29 33 34 44 51 58 66 68 87 102 116 121 132 174 187 204 242 319 348 363 374 484 493 561 638 726 748 957 986 1122 1276 1452 1479 1914 1972 2057 2244 2958 3509 3828 4114 5423 5916 6171 7018 8228 10527 10846 12342 14036 16269 21054 21692 24684 28109 32538 42108 56218 59653 65076 84327 112436 119306 168654 178959 238612 309199 337308 357918 477853 618398 715836 815161 927597 955706 1236796 1433559 1630322 1855194 1911412 2445483 2867118 3260644 3401189 3710388 4890966 5256383 5734236 6802378 8966771 9781932 10203567 10512766 13604756 13857737 15769149 17933542 20407134 21025532 26900313 27715474 31538298 35867084 40814268 41573211 53800626 55430948 57820213 63076596 83146422 98634481 107601252 115640426 152435107 166292844 173460639 197268962 231280852 295903443 304870214 346921278 394537924 457305321 591806886 609740428 693842556 914610642 1183613772 1676786177 1829221284 3353572354 5030358531 6707144708 10060717062 20121434124