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221021220012 = 223172503126703
BaseRepresentation
bin1100110111010111100…
…1000010110010101100
3210010111100102022020120
43031311321002302230
512110122413020022
6245311415444540
721653053241505
oct3156571026254
9703440368216
10221021220012
11858097979aa
1236a03686750
1317ac44537b8
14a9a9c79bac
155b38bb3d5c
hex3375e42cac

221021220012 has 72 divisors (see below), whose sum is σ = 548930382336. Its totient is φ = 69201591552.

The previous prime is 221021219999. The next prime is 221021220023. The reversal of 221021220012 is 210022120122.

It is a junction number, because it is equal to n+sod(n) for n = 221021219973 and 221021220000.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1681053 + ... + 1807755.

It is an arithmetic number, because the mean of its divisors is an integer number (7624033088).

Almost surely, 2221021220012 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 221021220012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274465191168).

221021220012 is an abundant number, since it is smaller than the sum of its proper divisors (327909162324).

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

221021220012 is a wasteful number, since it uses less digits than its factorization.

221021220012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127247 (or 127228 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 221021220012 its reverse (210022120122), we get a palindrome (431043340134).

The spelling of 221021220012 in words is "two hundred twenty-one billion, twenty-one million, two hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 289 503 578 867 1006 1156 1509 1734 2012 3018 3468 6036 8551 17102 25653 34204 51306 102612 126703 145367 253406 290734 380109 436101 506812 581468 760218 872202 1520436 1744404 2153951 4307902 6461853 8615804 12923706 25847412 36617167 63731609 73234334 109851501 127463218 146468668 191194827 219703002 254926436 382389654 439406004 764779308 1083437353 2166874706 3250312059 4333749412 6500624118 13001248236 18418435001 36836870002 55255305003 73673740004 110510610006 221021220012