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12110088492 = 2233418273307
BaseRepresentation
bin10110100011101000…
…10100100100101100
31011020222021020101000
423101310110210230
5144300140312432
65321401120300
7606046024305
oct132164244454
934228236330
1012110088492
1151549137a7
12241b789090
1311acbcb248
1482c4b77ac
154ad26957c
hex2d1d1492c

12110088492 has 96 divisors (see below), whose sum is σ = 32210922240. Its totient is φ = 3932288640.

The previous prime is 12110088491. The next prime is 12110088553. The reversal of 12110088492 is 29488001121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12110088491) 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, 3660303 + ... + 3663609.

It is an arithmetic number, because the mean of its divisors is an integer number (335530440).

Almost surely, 212110088492 is an apocalyptic number.

12110088492 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 12110088492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16105461120).

12110088492 is an abundant number, since it is smaller than the sum of its proper divisors (20100833748).

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

12110088492 is a wasteful number, since it uses less digits than its factorization.

12110088492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4188 (or 4180 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 12110088492 in words is "twelve billion, one hundred ten million, eighty-eight thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 82 108 123 164 246 369 492 738 827 1107 1476 1654 2214 2481 3307 3308 4428 4962 6614 7443 9921 9924 13228 14886 19842 22329 29763 29772 33907 39684 44658 59526 67814 89289 89316 101721 119052 135587 135628 178578 203442 271174 305163 357156 406761 406884 542348 610326 813522 915489 1220283 1220652 1627044 1830978 2440566 2734889 3660849 3661956 4881132 5469778 7321698 8204667 10939556 14643396 16409334 24614001 32818668 49228002 73842003 98456004 112130449 147684006 224260898 295368012 336391347 448521796 672782694 1009174041 1345565388 2018348082 3027522123 4036696164 6055044246 12110088492