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212021120120 = 2355923989477
BaseRepresentation
bin1100010101110101110…
…0011000110001111000
3202021021010010212012112
43011131130120301320
511433204401320440
6241222352231452
721214036533305
oct3053534306170
9667233125175
10212021120120
1181a10438717
123511153b588
1316cbb969bc4
14a39483a0ac
1557ad9b7965
hex315d718c78

212021120120 has 32 divisors (see below), whose sum is σ = 477060904800. Its totient is φ = 84806068608.

The previous prime is 212021120093. The next prime is 212021120249. The reversal of 212021120120 is 21021120212.

212021120120 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×2120211201204 (a number of 46 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212021120095 and 212021120104.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 2324822 + ... + 2414298.

It is an arithmetic number, because the mean of its divisors is an integer number (14908153275).

Almost surely, 2212021120120 is an apocalyptic number.

212021120120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212021120120 is an abundant number, since it is smaller than the sum of its proper divisors (265039784680).

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

212021120120 is a wasteful number, since it uses less digits than its factorization.

212021120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148727 (or 148723 counting only the distinct ones).

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

Adding to 212021120120 its reverse (21021120212), we get a palindrome (233042240332).

The spelling of 212021120120 in words is "two hundred twelve billion, twenty-one million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 59239 89477 118478 178954 236956 296195 357908 447385 473912 592390 715816 894770 1184780 1789540 2369560 3579080 5300528003 10601056006 21202112012 26502640015 42404224024 53005280030 106010560060 212021120120