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12011336028 = 22324361131971
BaseRepresentation
bin10110010111110111…
…00111000101011100
31011000002110002110100
423023323213011130
5144044400223103
65303512341100
7603436446246
oct131373470534
934002402410
1012011336028
1151040a459a
1223b26a4790
131195603533
1481d32d096
154a475e5a3
hex2cbee715c

12011336028 has 144 divisors (see below), whose sum is σ = 31851211392. Its totient is φ = 3813264000.

The previous prime is 12011336003. The next prime is 12011336033. The reversal of 12011336028 is 82063311021.

It is a happy number.

12011336028 is a `hidden beast` number, since 1 + 20 + 1 + 1 + 33 + 602 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12011335992 and 12011336010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12369583 + ... + 12370553.

It is an arithmetic number, because the mean of its divisors is an integer number (221188968).

Almost surely, 212011336028 is an apocalyptic number.

12011336028 is a gapful number since it is divisible by the number (18) 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 12011336028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15925605696).

12011336028 is an abundant number, since it is smaller than the sum of its proper divisors (19839875364).

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

12011336028 is a wasteful number, since it uses less digits than its factorization.

12011336028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1216 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 12011336028 its reverse (82063311021), we get a palindrome (94074647049).

The spelling of 12011336028 in words is "twelve billion, eleven million, three hundred thirty-six thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 43 61 86 122 129 131 172 183 244 258 262 366 387 393 516 524 549 732 774 786 971 1098 1179 1548 1572 1942 2196 2358 2623 2913 3884 4716 5246 5633 5826 7869 7991 8739 10492 11266 11652 15738 15982 16899 17478 22532 23607 23973 31476 31964 33798 34956 41753 47214 47946 50697 59231 67596 71919 83506 94428 95892 101394 118462 125259 127201 143838 167012 177693 202788 236924 250518 254402 287676 343613 355386 375777 381603 501036 508804 533079 687226 710772 751554 763206 1030839 1066158 1144809 1374452 1503108 1526412 2061678 2132316 2289618 2546933 3092517 4123356 4579236 5093866 5469643 6185034 7640799 7759261 10187732 10939286 12370068 15281598 15518522 16408929 21878572 22922397 23277783 30563196 31037044 32817858 45844794 46555566 49226787 65635716 69833349 91689588 93111132 98453574 139666698 196907148 279333396 333648223 667296446 1000944669 1334592892 2001889338 3002834007 4003778676 6005668014 12011336028