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12004403224 = 2311219432353
BaseRepresentation
bin10110010111000010…
…01010100000011000
31010222121101212102211
423023201022200120
5144041111400344
65303104004504
7603323513062
oct131341124030
933877355384
1012004403224
115100199900
1223b0300734
131194046a98
1481c446732
154a3d40334
hex2cb84a818

12004403224 has 144 divisors (see below), whose sum is σ = 26737867800. Its totient is φ = 5034839040.

The previous prime is 12004403221. The next prime is 12004403227. The reversal of 12004403224 is 42230440021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12004403221) and next prime (12004403227).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 12004403195 and 12004403204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12004403221) 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 35 ways as a sum of consecutive naturals, for example, 34006632 + ... + 34006984.

Almost surely, 212004403224 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 12004403224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13368933900).

12004403224 is an abundant number, since it is smaller than the sum of its proper divisors (14733464576).

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

12004403224 is a wasteful number, since it uses less digits than its factorization.

12004403224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 12004403224 its reverse (42230440021), we get a palindrome (54234843245).

The spelling of 12004403224 in words is "twelve billion, four million, four hundred three thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 19 22 38 43 44 76 86 88 121 152 172 209 242 344 353 418 473 484 706 817 836 946 968 1412 1634 1672 1849 1892 2299 2824 3268 3698 3784 3883 4598 5203 6536 6707 7396 7766 8987 9196 10406 13414 14792 15179 15532 17974 18392 20339 20812 26828 30358 31064 35131 35948 40678 41624 42713 53656 60716 70262 71896 73777 81356 85426 98857 121432 140524 147554 162712 166969 170852 197714 223729 281048 288401 295108 333938 341704 386441 395428 447458 576802 590216 652697 667876 772882 790856 811547 894916 1153604 1305394 1335752 1545764 1623094 1789832 1836659 2307208 2610788 3091528 3172411 3246188 3673318 4250851 5221576 6344822 6492376 7179667 7346636 8501702 12401243 12689644 14359334 14693272 17003404 24802486 25379288 28718668 34006808 34896521 49604972 57437336 69793042 78976337 99209944 136413673 139586084 157952674 272827346 279172168 315905348 545654692 631810696 1091309384 1500550403 3001100806 6002201612 12004403224