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1221201212 = 2271121961311
BaseRepresentation
bin100100011001010…
…0000110100111100
310011002220110010112
41020302200310330
510000111414322
6321102325152
742156016250
oct11062406474
93132813115
101221201212
11577377600
122a0b897b8
1316600858a
14b828c260
15723275e2
hex48ca0d3c

1221201212 has 144 divisors (see below), whose sum is σ = 2881482240. Its totient is φ = 441936000.

The previous prime is 1221201211. The next prime is 1221201217. The reversal of 1221201212 is 2121021221.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1221201211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3926537 + ... + 3926847.

Almost surely, 21221201212 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 1221201212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1440741120).

1221201212 is an abundant number, since it is smaller than the sum of its proper divisors (1660281028).

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

1221201212 is a wasteful number, since it uses less digits than its factorization.

1221201212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 1221201212 is about 34945.6894623643. The cubic root of 1221201212 is about 1068.8803065723.

Adding to 1221201212 its reverse (2121021221), we get a palindrome (3342222433).

Subtracting 1221201212 from its reverse (2121021221), we obtain a square (899820009 = 299972).

The spelling of 1221201212 in words is "one billion, two hundred twenty-one million, two hundred one thousand, two hundred twelve".

Divisors: 1 2 4 7 11 14 19 22 28 38 44 61 76 77 121 122 133 154 209 242 244 266 308 311 418 427 484 532 622 671 836 847 854 1159 1244 1342 1463 1694 1708 2177 2299 2318 2684 2926 3388 3421 4354 4598 4636 4697 5852 5909 6842 7381 8113 8708 9196 9394 11818 12749 13684 14762 16093 16226 18788 18971 23636 23947 25498 29524 32186 32452 37631 37942 41363 47894 50996 51667 64372 64999 75262 75884 82726 89243 95788 103334 129998 132797 140239 150524 165452 178486 206668 208681 259996 263417 265594 280478 356972 360449 417362 454993 526834 531188 560956 714989 720898 834724 909986 981673 1053668 1429978 1441796 1460767 1819972 1963346 2295491 2523143 2859956 2921534 3926692 3964939 4590982 5004923 5046286 5843068 7929878 9181964 10009846 10092572 15859756 16068437 20019692 27754573 32136874 43614329 55509146 64273748 87228658 111018292 174457316 305300303 610600606 1221201212