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212010212120 = 23572233395423
BaseRepresentation
bin1100010101110011001…
…0110001101100011000
3202021020100121200020112
43011130302301230120
511433144103241440
6241221322343452
721213545032460
oct3053462615430
9667210550215
10212010212120
1181a05268343
123510995ab88
1316cb961ac75
14a3931daba0
1557aca60965
hex315ccb1b18

212010212120 has 64 divisors (see below), whose sum is σ = 547613982720. Its totient is φ = 72363233664.

The previous prime is 212010212087. The next prime is 212010212137. The reversal of 212010212120 is 21212010212.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 212010212095 and 212010212104.

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, 1635272 + ... + 1760151.

It is an arithmetic number, because the mean of its divisors is an integer number (8556468480).

Almost surely, 2212010212120 is an apocalyptic number.

212010212120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212010212120 is an abundant number, since it is smaller than the sum of its proper divisors (335603770600).

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

212010212120 is a wasteful number, since it uses less digits than its factorization.

212010212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3395664 (or 3395660 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 212010212120 its reverse (21212010212), we get a palindrome (233222222332).

The spelling of 212010212120 in words is "two hundred twelve billion, ten million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 223 280 446 892 1115 1561 1784 2230 3122 4460 6244 7805 8920 12488 15610 31220 62440 3395423 6790846 13581692 16977115 23767961 27163384 33954230 47535922 67908460 95071844 118839805 135816920 190143688 237679610 475359220 757179329 950718440 1514358658 3028717316 3785896645 5300255303 6057434632 7571793290 10600510606 15143586580 21201021212 26501276515 30287173160 42402042424 53002553030 106005106060 212010212120