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211211022122112 = 2734871129422389
BaseRepresentation
bin110000000001100001100101…
…111100100011110010000000
31000200211120120021122020110010
4300001201211330203302000
5210140440133130401422
62025113000513304520
762326331011116015
oct6001414574436200
91020746507566403
10211211022122112
1161331100800991
121b83213bb65140
1390b11633a3a3c
143a2294d06970c
15196413b67bb0c
hexc01865f23c80

211211022122112 has 64 divisors (see below), whose sum is σ = 562181288846400. Its totient is φ = 70259107912704.

The previous prime is 211211022122083. The next prime is 211211022122129. The reversal of 211211022122112 is 211221220112112.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×2112110221221122 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 564524187 + ... + 564898202.

It is an arithmetic number, because the mean of its divisors is an integer number (8784082638225).

Almost surely, 2211211022122112 is an apocalyptic number.

It is an amenable number.

211211022122112 is an abundant number, since it is smaller than the sum of its proper divisors (350970266724288).

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

211211022122112 is a wasteful number, since it uses less digits than its factorization.

211211022122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1129422893 (or 1129422881 counting only the distinct ones).

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

Adding to 211211022122112 its reverse (211221220112112), we get a palindrome (422432242234224).

The spelling of 211211022122112 in words is "two hundred eleven trillion, two hundred eleven billion, twenty-two million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 487 974 1461 1948 2922 3896 5844 7792 11688 15584 23376 31168 46752 62336 93504 187008 1129422389 2258844778 3388267167 4517689556 6776534334 9035379112 13553068668 18070758224 27106137336 36141516448 54212274672 72283032896 108424549344 144566065792 216849098688 433698197376 550028703443 1100057406886 1650086110329 2200114813772 3300172220658 4400229627544 6600344441316 8800459255088 13200688882632 17600918510176 26401377765264 35201837020352 52802755530528 70403674040704 105605511061056 211211022122112