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212021122120 = 2356779112359
BaseRepresentation
bin1100010101110101110…
…0011001010001001000
3202021021010010221221121
43011131130121101020
511433204401401440
6241222352245024
721214036542163
oct3053534312110
9667233127847
10212021122120
1181a1043a175
1235111540774
1316cbb96aaa2
14a39483aada
1557ad9b834a
hex315d719448

212021122120 has 32 divisors (see below), whose sum is σ = 484167643200. Its totient is φ = 83542650048.

The previous prime is 212021122097. The next prime is 212021122129. The reversal of 212021122120 is 21221120212.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 212021122094 and 212021122103.

It is not an unprimeable number, because it can be changed into a prime (212021122129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39553500 + ... + 39558859.

It is an arithmetic number, because the mean of its divisors is an integer number (15130238850).

Almost surely, 2212021122120 is an apocalyptic number.

212021122120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212021122120 is an abundant number, since it is smaller than the sum of its proper divisors (272146521080).

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

212021122120 is a wasteful number, since it uses less digits than its factorization.

212021122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79112437 (or 79112433 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 212021122120 its reverse (21221120212), we get a palindrome (233242242332).

The spelling of 212021122120 in words is "two hundred twelve billion, twenty-one million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 67 134 268 335 536 670 1340 2680 79112359 158224718 316449436 395561795 632898872 791123590 1582247180 3164494360 5300528053 10601056106 21202112212 26502640265 42404224424 53005280530 106010561060 212021122120