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211211222120112 = 24394612102322123
BaseRepresentation
bin110000000001100001110001…
…110111011111011010110000
31000200211121002012222012010110
4300001201301313133122300
5210140441040330320422
62025113032420101320
762326335660064404
oct6001416167373260
91020747065865113
10211211222120112
11613311a3692395
121b832196b34840
1390b119595a156
143a2296b84b104
15196414ded560c
hexc01871ddf6b0

211211222120112 has 80 divisors (see below), whose sum is σ = 545737285721088. Its totient is φ = 70389768810240.

The previous prime is 211211222120051. The next prime is 211211222120117. The reversal of 211211222120112 is 211021222112112.

It is a super-2 number, since 2×2112112221201122 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211211222120117) 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 15 ways as a sum of consecutive naturals, for example, 9547121883 + ... + 9547144005.

Almost surely, 2211211222120112 is an apocalyptic number.

It is an amenable number.

211211222120112 is an abundant number, since it is smaller than the sum of its proper divisors (334526063600976).

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

211211222120112 is a wasteful number, since it uses less digits than its factorization.

211211222120112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52618 (or 52612 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 21.

Adding to 211211222120112 its reverse (211021222112112), we get a palindrome (422232444232224).

The spelling of 211211222120112 in words is "two hundred eleven trillion, two hundred eleven billion, two hundred twenty-two million, one hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 9461 18922 21023 22123 28383 37844 42046 44246 56766 63069 66369 75688 84092 88492 113532 126138 132738 151376 168184 176984 227064 252276 265476 336368 353968 454128 504552 530952 1009104 1061904 198898603 209305703 397797206 418611406 465091829 596695809 627917109 795594412 837222812 930183658 1193391618 1255834218 1395275487 1591188824 1674445624 1860367316 2386783236 2511668436 2790550974 3182377648 3348891248 3720734632 4773566472 5023336872 5581101948 7441469264 9547132944 10046673744 11162203896 22324407792 4400233794169 8800467588338 13200701382507 17600935176676 26401402765014 35201870353352 52802805530028 70403740706704 105605611060056 211211222120112