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212122120 = 2357757579
BaseRepresentation
bin11001010010010…
…11101000001000
3112210010220211211
430221023220020
5413300401440
633014302504
75154002560
oct1451135010
9483126754
10212122120
11a9812541
125b057a34
1334c3ca62
1420259da0
1513950eea
hexca4ba08

212122120 has 32 divisors (see below), whose sum is σ = 545457600. Its totient is φ = 72727488.

The previous prime is 212122109. The next prime is 212122121. The reversal of 212122120 is 21221212.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 212122120.

It is not an unprimeable number, because it can be changed into a prime (212122121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 378510 + ... + 379069.

It is an arithmetic number, because the mean of its divisors is an integer number (17045550).

Almost surely, 2212122120 is an apocalyptic number.

212122120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212122120 is an abundant number, since it is smaller than the sum of its proper divisors (333335480).

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

212122120 is a wasteful number, since it uses less digits than its factorization.

212122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757597 (or 757593 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 212122120 is about 14564.4127928317. The cubic root of 212122120 is about 596.3876657514.

Adding to 212122120 its reverse (21221212), we get a palindrome (233343332).

It can be divided in two parts, 21212 and 2120, that added together give a palindrome (23332).

The spelling of 212122120 in words is "two hundred twelve million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 757579 1515158 3030316 3787895 5303053 6060632 7575790 10606106 15151580 21212212 26515265 30303160 42424424 53030530 106061060 212122120