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22002120021012 = 22329107997592661
BaseRepresentation
bin1010000000010110001001…
…00011000101010000010100
32212220101022120111120201120
411000023010203011100110
510340440320211133022
6114443345010323540
74430413021301145
oct500130443052024
985811276446646
1022002120021012
117013057180aaa
1225741a95895b0
13c37a38b25ac1
14560ca04c9acc
152824d4032d5c
hex1402c48c5414

22002120021012 has 96 divisors (see below), whose sum is σ = 53658764046720. Its totient is φ = 7007915281920.

The previous prime is 22002120021001. The next prime is 22002120021023. The reversal of 22002120021012 is 21012002120022.

It is an interprime number because it is at equal distance from previous prime (22002120021001) and next prime (22002120021023).

It is a junction number, because it is equal to n+sod(n) for n = 22002120020982 and 22002120021000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36827962 + ... + 37420622.

It is an arithmetic number, because the mean of its divisors is an integer number (558945458820).

Almost surely, 222002120021012 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 22002120021012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26829382023360).

22002120021012 is an abundant number, since it is smaller than the sum of its proper divisors (31656644025708).

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

22002120021012 is a wasteful number, since it uses less digits than its factorization.

22002120021012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593801 (or 593799 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 22002120021012 its reverse (21012002120022), we get a palindrome (43014122141034).

The spelling of 22002120021012 in words is "twenty-two trillion, two billion, one hundred twenty million, twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 12 29 58 87 107 116 174 214 321 348 428 642 997 1284 1994 2991 3103 3988 5982 6206 9309 11964 12412 18618 28913 37236 57826 86739 106679 115652 173478 213358 320037 346956 426716 592661 640074 1185322 1280148 1777983 2370644 3093691 3555966 6187382 7111932 9281073 12374764 17187169 18562146 34374338 37124292 51561507 63414727 68748676 103123014 126829454 190244181 206246028 253658908 380488362 590883017 760976724 1181766034 1772649051 1839027083 2363532068 3545298102 3678054166 5517081249 7090596204 7356108332 11034162498 17135607493 22068324996 34271214986 51406822479 63224482819 68542429972 102813644958 126448965638 189673448457 205627289916 252897931276 379346896914 758693793828 1833510001751 3667020003502 5500530005253 7334040007004 11001060010506 22002120021012