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122004001143024 = 243711132539210813
BaseRepresentation
bin11011101111011001000101…
…001001100011100011110000
3120222222110122121111000021220
4123233121011021203203300
5111442403143243034044
61111251510412145040
734461332611636230
oct3357310511434360
9528873577430256
10122004001143024
1135968674009a70
1211825239168180
13530cc0a8c2aa0
14221b04d08dcc0
15e1890da32019
hex6ef6452638f0

122004001143024 has 160 divisors (see below), whose sum is σ = 423174717417984. Its totient is φ = 29251708554240.

The previous prime is 122004001143023. The next prime is 122004001143053. The reversal of 122004001143024 is 420341100400221.

122004001143024 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 122004001142985 and 122004001143003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122004001143023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1269557359 + ... + 1269653454.

Almost surely, 2122004001143024 is an apocalyptic number.

122004001143024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

122004001143024 is an abundant number, since it is smaller than the sum of its proper divisors (301170716274960).

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

122004001143024 is a wasteful number, since it uses less digits than its factorization.

122004001143024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2539210855 (or 2539210849 counting only the distinct ones).

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

Adding to 122004001143024 its reverse (420341100400221), we get a palindrome (542345101543245).

The spelling of 122004001143024 in words is "one hundred twenty-two trillion, four billion, one million, one hundred forty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 11 12 13 14 16 21 22 24 26 28 33 39 42 44 48 52 56 66 77 78 84 88 91 104 112 132 143 154 156 168 176 182 208 231 264 273 286 308 312 336 364 429 462 528 546 572 616 624 728 858 924 1001 1092 1144 1232 1456 1716 1848 2002 2184 2288 3003 3432 3696 4004 4368 6006 6864 8008 12012 16016 24024 48048 2539210813 5078421626 7617632439 10156843252 15235264878 17774475691 20313686504 27931318943 30470529756 33009740569 35548951382 40627373008 53323427073 55862637886 60941059512 66019481138 71097902764 83793956829 99029221707 106646854146 111725275772 121882119024 132038962276 142195805528 167587913658 195519232601 198058443414 213293708292 223450551544 231068183983 264077924552 284391611056 335175827316 363107146259 391038465202 396116886828 426587416584 446901103088 462136367966 528155849104 586557697803 670351654632 693204551949 726214292518 782076930404 792233773656 853174833168 924272735932 1089321438777 1173115395606 1340703309264 1386409103898 1452428585036 1564153860808 1584467547312 1848545471864 2178642877554 2346230791212 2541750023813 2772818207796 2904857170072 3128307721616 3697090943728 4357285755108 4692461582424 5083500047626 5545636415592 5809714340144 7625250071439 8714571510216 9384923164848 10167000095252 11091272831184 15250500142878 17429143020432 20334000190504 30501000285756 40668000381008 61002000571512 122004001143024