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2200212312012 = 22321113462192489
BaseRepresentation
bin100000000001000110110…
…111111000111111001100
321210100010120122002210100
4200001012313320333030
5242022013322441022
64402432533411100
7314650212035361
oct40010667707714
97710116562710
102200212312012
11779117544160
122b64ba799a90
1312c62c85b850
14786c2c3a468
153c374dde1ac
hex20046df8fcc

2200212312012 has 144 divisors (see below), whose sum is σ = 6535448468640. Its totient is φ = 615304166400.

The previous prime is 2200212311933. The next prime is 2200212312031. The reversal of 2200212312012 is 2102132120022.

2200212312012 is a `hidden beast` number, since 220 + 0 + 212 + 31 + 201 + 2 = 666.

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, 23742664 + ... + 23835152.

It is an arithmetic number, because the mean of its divisors is an integer number (45385058810).

Almost surely, 22200212312012 is an apocalyptic number.

2200212312012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2200212312012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3267724234320).

2200212312012 is an abundant number, since it is smaller than the sum of its proper divisors (4335236156628).

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

2200212312012 is a wasteful number, since it uses less digits than its factorization.

2200212312012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97144 (or 97139 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2200212312012 its reverse (2102132120022), we get a palindrome (4302344432034).

The spelling of 2200212312012 in words is "two trillion, two hundred billion, two hundred twelve million, three hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 132 143 156 198 234 286 396 429 468 572 858 1287 1716 2574 4621 5148 9242 13863 18484 27726 41589 50831 55452 60073 83178 92489 101662 120146 152493 166356 180219 184978 203324 240292 277467 304986 360438 369956 457479 540657 554934 609972 660803 720876 832401 914958 1017379 1081314 1109868 1202357 1321606 1664802 1829916 1982409 2034758 2162628 2404714 2643212 3052137 3329604 3607071 3964818 4069516 4809428 5947227 6104274 7214142 7929636 9156411 10821213 11894454 12208548 13225927 14428284 18312822 21642426 23788908 26451854 36625644 39677781 43284852 52903708 79355562 119033343 158711124 238066686 427391669 476133372 854783338 1282175007 1709566676 2564350014 3846525021 4701308359 5128700028 5556091697 7693050042 9402616718 11112183394 14103925077 15386100084 16668275091 18805233436 22224366788 28207850154 33336550182 42311775231 50004825273 56415700308 61117008667 66673100364 84623550462 100009650546 122234017334 169247100924 183351026001 200019301092 244468034668 366702052002 550053078003 733404104004 1100106156006 2200212312012