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1211421224 = 23131723313
BaseRepresentation
bin100100000110100…
…1101001000101000
310010102111120111202
41020031031020220
54440110434344
6320112543332
742006624206
oct11015151050
93112446452
101211421224
115718a7772
12299851b48
13163c92bc0
14b6c64076
157154494e
hex4834d228

1211421224 has 128 divisors (see below), whose sum is σ = 2792724480. Its totient is φ = 487111680.

The previous prime is 1211421199. The next prime is 1211421227. The reversal of 1211421224 is 4221241121.

It is a super-3 number, since 3×12114212243 (a number of 28 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1211421196 and 1211421205.

It is not an unprimeable number, because it can be changed into a prime (1211421227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39078089 + ... + 39078119.

It is an arithmetic number, because the mean of its divisors is an integer number (21818160).

Almost surely, 21211421224 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 1211421224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1396362240).

1211421224 is an abundant number, since it is smaller than the sum of its proper divisors (1581303256).

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

1211421224 is a wasteful number, since it uses less digits than its factorization.

1211421224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 86 counting only the distinct ones).

The product of its digits is 256, while the sum is 20.

The square root of 1211421224 is about 34805.4769253346. The cubic root of 1211421224 is about 1066.0192799942.

Adding to 1211421224 its reverse (4221241121), we get a palindrome (5432662345).

The spelling of 1211421224 in words is "one billion, two hundred eleven million, four hundred twenty-one thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 17 23 26 31 34 46 52 62 68 92 104 124 136 184 221 248 299 391 403 442 527 598 713 782 806 884 961 1054 1196 1426 1564 1612 1768 1922 2108 2392 2852 3128 3224 3844 4216 5083 5704 6851 7688 9269 10166 12121 12493 13702 16337 18538 20332 22103 24242 24986 27404 29791 32674 37076 40664 44206 48484 49972 54808 59582 65348 74152 88412 96968 99944 119164 130696 157573 176824 212381 238328 287339 315146 375751 387283 424762 506447 574678 630292 685193 751502 774566 849524 1012894 1149356 1260584 1370386 1503004 1549132 1699048 2025788 2298712 2740772 3006008 3098264 4051576 4884763 5481544 6583811 8907509 9769526 11648281 13167622 17815018 19539052 23296562 26335244 35630036 39078104 46593124 52670488 71260072 93186248 151427653 302855306 605710612 1211421224