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200122221202212 = 223173152276054119
BaseRepresentation
bin101101100000001010010101…
…111010000000101100100100
3222020120111102200101102200110
4231200022111322000230210
5202212300302111432322
61545342513530013020
760103232125353231
oct5540122572005444
9866514380342613
10200122221202212
11588463a2769581
121a54103ab77170
1387885a16bc28a
14375bd77d66788
15182098904dc0c
hexb60295e80b24

200122221202212 has 96 divisors (see below), whose sum is σ = 510466349998080. Its totient is φ = 60746535682560.

The previous prime is 200122221202159. The next prime is 200122221202249. The reversal of 200122221202212 is 212202122221002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30028489 + ... + 36082607.

It is an arithmetic number, because the mean of its divisors is an integer number (5317357812480).

Almost surely, 2200122221202212 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 200122221202212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255233174999040).

200122221202212 is an abundant number, since it is smaller than the sum of its proper divisors (310344128795868).

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

200122221202212 is a wasteful number, since it uses less digits than its factorization.

200122221202212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6059401 (or 6059399 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 200122221202212 its reverse (212202122221002), we get a palindrome (412324343423214).

The spelling of 200122221202212 in words is "two hundred trillion, one hundred twenty-two billion, two hundred twenty-one million, two hundred two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 17 31 34 51 62 68 93 102 124 186 204 372 527 1054 1581 2108 3162 5227 6324 10454 15681 20908 31362 62724 88859 162037 177718 266577 324074 355436 486111 533154 648148 972222 1066308 1944444 2754629 5509258 6054119 8263887 11018516 12108238 16527774 18162357 24216476 33055548 36324714 72649428 102920023 187677689 205840046 308760069 375355378 411680092 563033067 617520138 750710756 1126066134 1235040276 2252132268 3190520713 6381041426 9571562139 12762082852 19143124278 31644880013 38286248556 63289760026 94934640039 126579520052 189869280078 379738560156 537962960221 980991280403 1075925920442 1613888880663 1961982560806 2151851840884 2942973841209 3227777761326 3923965121612 5885947682418 6455555522652 11771895364836 16676851766851 33353703533702 50030555300553 66707407067404 100061110601106 200122221202212