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200122112111012 = 227131378269485311
BaseRepresentation
bin101101100000001010001111…
…011001110111000110100100
3222020120111011002010000200122
4231200022033121313012210
5202212300041200023022
61545342455031501112
760103226332165130
oct5540121731670644
9866514132100618
10200122112111012
1158846347128763
121a54100a527798
138788584c14780
14375bd6768a3c0
15182097e6a0742
hexb6028f6771a4

200122112111012 has 96 divisors (see below), whose sum is σ = 434231863726080. Its totient is φ = 78581643678720.

The previous prime is 200122112110981. The next prime is 200122112111017. The reversal of 200122112111012 is 210111211221002.

It is not an unprimeable number, because it can be changed into a prime (200122112111017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 412115837 + ... + 412601147.

It is an arithmetic number, because the mean of its divisors is an integer number (4523248580480).

Almost surely, 2200122112111012 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 200122112111012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217115931863040).

200122112111012 is an abundant number, since it is smaller than the sum of its proper divisors (234109751615068).

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

200122112111012 is a wasteful number, since it uses less digits than its factorization.

200122112111012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493741 (or 493739 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 200122112111012 its reverse (210111211221002), we get a palindrome (410233323332014).

The spelling of 200122112111012 in words is "two hundred trillion, one hundred twenty-two billion, one hundred twelve million, one hundred eleven thousand, twelve".

Divisors: 1 2 4 7 13 14 26 28 52 91 137 182 274 364 548 959 1781 1918 3562 3836 7124 8269 12467 16538 24934 33076 49868 57883 107497 115766 214994 231532 429988 485311 752479 970622 1132853 1504958 1941244 2265706 3009916 3397177 4531412 6309043 6794354 7929971 12618086 13588708 14727089 15859942 25236172 29454178 31719884 44163301 58908356 66487607 88326602 103089623 132975214 176653204 206179246 265950428 412358492 465413249 864338891 930826498 1728677782 1861652996 3457355564 4013036659 6050372237 8026073318 12100744474 16052146636 24201488948 28091256613 52169476567 56182513226 104338953134 112365026452 208677906268 365186335969 549786022283 730372671938 1099572044566 1460745343876 2199144089132 3848502155981 7147218289679 7697004311962 14294436579358 15394008623924 28588873158716 50030528027753 100061056055506 200122112111012