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211121120212120 = 235311491142677637
BaseRepresentation
bin110000000000001101110111…
…010111111111010010011000
31000200111222111212100000112001
4300000031313113333102120
5210133002023233241440
62025003411555330344
762316666112361116
oct6000156727772230
91020458455300461
10211121120212120
11612a6a67497318
121b81882bbb09b4
1390a58369a6ab1
143a1c4611c2ab6
151961b28c28b9a
hexc003775ff498

211121120212120 has 64 divisors (see below), whose sum is σ = 493636739616000. Its totient is φ = 81175819261440.

The previous prime is 211121120212109. The next prime is 211121120212139. The reversal of 211121120212120 is 21212021121112.

It is a happy number.

211121120212120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 571154059 + ... + 571523578.

It is an arithmetic number, because the mean of its divisors is an integer number (7713074056500).

Almost surely, 2211121120212120 is an apocalyptic number.

211121120212120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211121120212120 is an abundant number, since it is smaller than the sum of its proper divisors (282515619403880).

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

211121120212120 is a wasteful number, since it uses less digits than its factorization.

211121120212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142677828 (or 1142677824 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 211121120212120 its reverse (21212021121112), we get a palindrome (232333141333232).

The spelling of 211121120212120 in words is "two hundred eleven trillion, one hundred twenty-one billion, one hundred twenty million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 149 155 248 298 310 596 620 745 1192 1240 1490 2980 4619 5960 9238 18476 23095 36952 46190 92380 184760 1142677637 2285355274 4570710548 5713388185 9141421096 11426776370 22853552740 35423006747 45707105480 70846013494 141692026988 170258967913 177115033735 283384053976 340517935826 354230067470 681035871652 708460134940 851294839565 1362071743304 1416920269880 1702589679130 3405179358260 5278028005303 6810358716520 10556056010606 21112112021212 26390140026515 42224224042424 52780280053030 105560560106060 211121120212120