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20021222220012 = 223213743214126893
BaseRepresentation
bin1001000110101100011011…
…10101101010000011101100
32121220000021101210222120100
410203112031311222003230
510111011430342020022
6110325342243551100
74134325356640266
oct443261565520354
977800241728510
1020021222220012
116419a52a9a042
1222b42b698b490
13b22cbac62880
144d30649b8b36
1524abe807b1ac
hex12358dd6a0ec

20021222220012 has 144 divisors (see below), whose sum is σ = 54603091303488. Its totient is φ = 6148982730240.

The previous prime is 20021222219993. The next prime is 20021222220031. The reversal of 20021222220012 is 21002222212002.

20021222220012 is a `hidden beast` number, since 20 + 0 + 212 + 222 + 200 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (20021222219993) and next prime (20021222220031).

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

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, 744463638 + ... + 744490530.

It is an arithmetic number, because the mean of its divisors is an integer number (379188134052).

Almost surely, 220021222220012 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 20021222220012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27301545651744).

20021222220012 is an abundant number, since it is smaller than the sum of its proper divisors (34581869083476).

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

20021222220012 is a wasteful number, since it uses less digits than its factorization.

20021222220012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29800 (or 29795 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 20021222220012 its reverse (21002222212002), we get a palindrome (41023444432014).

The spelling of 20021222220012 in words is "twenty trillion, twenty-one billion, two hundred twenty-two million, two hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 743 1486 2141 2229 2972 4282 4458 6423 6687 8564 8916 9659 12846 13374 19269 19318 25692 26748 26893 27833 28977 38538 38636 53786 55666 57954 77076 80679 83499 86931 107572 111332 115908 161358 166998 173862 242037 250497 322716 333996 347724 349609 484074 500994 699218 968148 1001988 1048827 1398436 1590763 2097654 3146481 3181526 4195308 4772289 6292962 6363052 9544578 12585924 14316867 19089156 19981499 20679919 28633734 39962998 41359838 57267468 57577913 59944497 62039757 79925996 82719676 115155826 119888994 124079514 172733739 179833491 186119271 230311652 239777988 248159028 259759487 345467478 359666982 372238542 518201217 519518974 690934956 719333964 744477084 748512869 779278461 1036402434 1039037948 1497025738 1558556922 2072804868 2245538607 2337835383 2994051476 3117113844 4491077214 4675670766 6736615821 8982154428 9351341532 13473231642 26946463284 42780389359 85560778718 128341168077 171121557436 256682336154 385023504231 513364672308 556145061667 770047008462 1112290123334 1540094016924 1668435185001 2224580246668 3336870370002 5005305555003 6673740740004 10010611110006 20021222220012