Search a number
-
+
212111220012 = 22337716728563
BaseRepresentation
bin1100010110001011010…
…0000101110100101100
3202021111101200102000120
43011202310011310230
511433400433020022
6241235331324540
721216212423226
oct3054264056454
9667441612016
10212111220012
1181a5728803a
1235137750750
1317004525453
14a3a27b1416
1557b6863d5c
hex3162d05d2c

212111220012 has 48 divisors (see below), whose sum is σ = 515461830912. Its totient is φ = 67823904960.

The previous prime is 212111219981. The next prime is 212111220019. The reversal of 212111220012 is 210022111212.

It is a junction number, because it is equal to n+sod(n) for n = 212111219973 and 212111220000.

It is not an unprimeable number, because it can be changed into a prime (212111220019) 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 15 ways as a sum of consecutive naturals, for example, 3332758 + ... + 3395805.

It is an arithmetic number, because the mean of its divisors is an integer number (10738788144).

Almost surely, 2212111220012 is an apocalyptic number.

It is an amenable number.

212111220012 is an abundant number, since it is smaller than the sum of its proper divisors (303350610900).

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

212111220012 is a wasteful number, since it uses less digits than its factorization.

212111220012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6728678 (or 6728676 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 212111220012 its reverse (210022111212), we get a palindrome (422133331224).

The spelling of 212111220012 in words is "two hundred twelve billion, one hundred eleven million, two hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 12 37 71 74 111 142 148 213 222 284 426 444 852 2627 5254 7881 10508 15762 31524 6728563 13457126 20185689 26914252 40371378 80742756 248956831 477727973 497913662 746870493 955455946 995827324 1433183919 1493740986 1910911892 2866367838 2987481972 5732735676 17675935001 35351870002 53027805003 70703740004 106055610006 212111220012