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1221322212 = 223411231153
BaseRepresentation
bin100100011001011…
…1110010111100100
310011010010121010000
41020302332113210
510000124302322
6321105101300
742160032105
oct11062762744
93133117100
101221322212
1157744a500
122a1027830
1316604b686
14b82c03ac
157234d3ac
hex48cbe5e4

1221322212 has 90 divisors (see below), whose sum is σ = 3509529254. Its totient is φ = 370085760.

The previous prime is 1221322127. The next prime is 1221322231. The reversal of 1221322212 is 2122231221.

1221322212 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 917726436 + 303595776 = 30294^2 + 17424^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 23628 + ... + 54780.

Almost surely, 21221322212 is an apocalyptic number.

1221322212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1221322212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1754764627).

1221322212 is an abundant number, since it is smaller than the sum of its proper divisors (2288207042).

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

1221322212 is a wasteful number, since it uses less digits than its factorization.

1221322212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31191 (or 31169 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 1221322212 is about 34947.4206773547. The cubic root of 1221322212 is about 1068.9156079473.

Adding to 1221322212 its reverse (2122231221), we get a palindrome (3343553433).

Subtracting 1221322212 from its reverse (2122231221), we obtain a palindrome (900909009).

The spelling of 1221322212 in words is "one billion, two hundred twenty-one million, three hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 121 132 162 198 242 297 324 363 396 484 594 726 891 1089 1188 1452 1782 2178 3267 3564 4356 6534 9801 13068 19602 31153 39204 62306 93459 124612 186918 280377 342683 373836 560754 685366 841131 1028049 1121508 1370732 1682262 2056098 2523393 3084147 3364524 3769513 4112196 5046786 6168294 7539026 9252441 10093572 11308539 12336588 15078052 18504882 22617078 27757323 33925617 37009764 45234156 55514646 67851234 101776851 111029292 135702468 203553702 305330553 407107404 610661106 1221322212