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212012201124 = 2232232922511213
BaseRepresentation
bin1100010101110011101…
…0010111010010100100
3202021020111100201122100
43011130322113102210
511433200110413444
6241221433132100
721213600655353
oct3053472272244
9667214321570
10212012201124
1181a063a6749
123510a55a030
1316cb9b663a9
14a39359799a
1557acd04e69
hex315ce974a4

212012201124 has 216 divisors, whose sum is σ = 581955820992. Its totient is φ = 64953504000.

The previous prime is 212012201113. The next prime is 212012201129. The reversal of 212012201124 is 421102210212.

212012201124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 212012201097 and 212012201106.

It is not an unprimeable number, because it can be changed into a prime (212012201129) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 174782742 + ... + 174783954.

It is an arithmetic number, because the mean of its divisors is an integer number (2694239912).

Almost surely, 2212012201124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212012201124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290977910496).

212012201124 is an abundant number, since it is smaller than the sum of its proper divisors (369943619868).

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

212012201124 is a wasteful number, since it uses less digits than its factorization.

212012201124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1555 (or 1521 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 212012201124 its reverse (421102210212), we get a palindrome (633114411336).

The spelling of 212012201124 in words is "two hundred twelve billion, twelve million, two hundred one thousand, one hundred twenty-four".