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12224411004 = 22313436412843
BaseRepresentation
bin10110110001010000…
…11011010101111100
31011112221101102101010
423120220123111330
5200013422123004
65341003315220
7611634531141
oct133050332574
934487342333
1012224411004
1152033a7a13
122451b1bb10
1311ca7b7bc0
1483d7563c8
154b82eca89
hex2d8a1b57c

12224411004 has 96 divisors (see below), whose sum is σ = 31492226304. Its totient is φ = 3666862080.

The previous prime is 12224410951. The next prime is 12224411011. The reversal of 12224411004 is 40011442221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4298407 + ... + 4301249.

It is an arithmetic number, because the mean of its divisors is an integer number (328044024).

Almost surely, 212224411004 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 12224411004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15746113152).

12224411004 is an abundant number, since it is smaller than the sum of its proper divisors (19267815300).

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

12224411004 is a wasteful number, since it uses less digits than its factorization.

12224411004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3547 (or 3545 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 12224411004 its reverse (40011442221), we get a palindrome (52235853225).

The spelling of 12224411004 in words is "twelve billion, two hundred twenty-four million, four hundred eleven thousand, four".

Divisors: 1 2 3 4 6 12 13 26 39 43 52 78 86 129 156 172 258 516 559 641 1118 1282 1677 1923 2236 2564 2843 3354 3846 5686 6708 7692 8333 8529 11372 16666 17058 24999 27563 33332 34116 36959 49998 55126 73918 82689 99996 110252 110877 122249 147836 165378 221754 244498 330756 358319 366747 443508 488996 716638 733494 1074957 1433276 1466988 1589237 1822363 2149914 3178474 3644726 4299828 4767711 5467089 6356948 7289452 9535422 10934178 19070844 21868356 23690719 47381438 71072157 78361609 94762876 142144314 156723218 235084827 284288628 313446436 470169654 940339308 1018700917 2037401834 3056102751 4074803668 6112205502 12224411004