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12223111032 = 23331123322079
BaseRepresentation
bin10110110001000110…
…11101111101111000
31011112211221101011000
423120203131331320
5200013104023112
65340515405000
7611620505136
oct133043357570
934484841130
1012223111032
11520269a260
1224515b3760
1311ca4512a2
1483d4d8756
154b81427dc
hex2d88ddf78

12223111032 has 128 divisors (see below), whose sum is σ = 37200384000. Its totient is φ = 3687909120.

The previous prime is 12223110971. The next prime is 12223111039. The reversal of 12223111032 is 23011132221.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12223110996 and 12223111014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12223111039) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 542569 + ... + 564647.

It is an arithmetic number, because the mean of its divisors is an integer number (290628000).

Almost surely, 212223111032 is an apocalyptic number.

12223111032 is a gapful number since it is divisible by the number (12) 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 12223111032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18600192000).

12223111032 is an abundant number, since it is smaller than the sum of its proper divisors (24977272968).

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

12223111032 is a wasteful number, since it uses less digits than its factorization.

12223111032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22338 (or 22328 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12223111032 its reverse (23011132221), we get a palindrome (35234243253).

The spelling of 12223111032 in words is "twelve billion, two hundred twenty-three million, one hundred eleven thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 233 264 297 396 466 594 699 792 932 1188 1398 1864 2097 2376 2563 2796 4194 5126 5592 6291 7689 8388 10252 12582 15378 16776 20504 22079 23067 25164 30756 44158 46134 50328 61512 66237 69201 88316 92268 132474 138402 176632 184536 198711 242869 264948 276804 397422 485738 529896 553608 596133 728607 794844 971476 1192266 1457214 1589688 1942952 2185821 2384532 2914428 4371642 4769064 5144407 5828856 6557463 8743284 10288814 13114926 15433221 17486568 20577628 26229852 30866442 41155256 46299663 52459704 56588477 61732884 92599326 113176954 123465768 138898989 169765431 185198652 226353908 277797978 339530862 370397304 452707816 509296293 555595956 679061724 1018592586 1111191912 1358123448 1527888879 2037185172 3055777758 4074370344 6111555516 12223111032