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12202102200222 = 232112271078925163
BaseRepresentation
bin1011000110010000010111…
…1101111001011110011110
31121012111202111000121212100
42301210011331321132132
53044404401130401342
641541322433345530
72366400316246104
oct261440575713636
947174674017770
1012202102200222
113984978647160
121450a234082a6
136a68653ba1cc
14302828d5dc74
15162610be3e4c
hexb1905f7979e

12202102200222 has 96 divisors (see below), whose sum is σ = 28972223130240. Its totient is φ = 3680830215360.

The previous prime is 12202102200209. The next prime is 12202102200227. The reversal of 12202102200222 is 22200220120221.

12202102200222 is a `hidden beast` number, since 1 + 220 + 2 + 1 + 0 + 220 + 0 + 222 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12202102200195 and 12202102200204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12202102200227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 484909813 + ... + 484934975.

It is an arithmetic number, because the mean of its divisors is an integer number (301793990940).

Almost surely, 212202102200222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12202102200222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14486111565120).

12202102200222 is an abundant number, since it is smaller than the sum of its proper divisors (16770120930018).

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

12202102200222 is a wasteful number, since it uses less digits than its factorization.

12202102200222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36198 (or 36195 counting only the distinct ones).

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

Adding to 12202102200222 its reverse (22200220120221), we get a palindrome (34402322320443).

The spelling of 12202102200222 in words is "twelve trillion, two hundred two billion, one hundred two million, two hundred thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 227 454 681 1362 2043 2497 4086 4994 7491 10789 14982 21578 22473 25163 32367 44946 50326 64734 75489 97101 118679 150978 194202 226467 237358 276793 356037 452934 553586 712074 830379 1068111 1660758 2136222 2449103 2491137 4898206 4982274 5712001 7347309 11424002 14694618 17136003 22041927 26940133 34272006 44083854 51408009 53880266 62832011 80820399 102816018 125664022 161640798 188496033 242461197 271483607 376992066 484922394 542967214 565488099 814450821 1130976198 1628901642 2443352463 2986319677 4886704926 5972639354 8958959031 17917918062 26876877093 53753754186 61626778789 123253557578 184880336367 369760672734 554641009101 677894566679 1109282018202 1355789133358 2033683700037 4067367400074 6101051100111 12202102200222