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12111032000 = 26539715607
BaseRepresentation
bin10110100011101111…
…11010111011000000
31011021001001011121202
423101313322323000
5144300411011000
65321433240332
7606060034124
oct132167727300
934231034552
1012111032000
1151553a8661
12241bb630a8
1311b016b832
1482c681584
154ad3a3dd5
hex2d1dfaec0

12111032000 has 112 divisors (see below), whose sum is σ = 30304118208. Its totient is φ = 4794163200.

The previous prime is 12111031991. The next prime is 12111032069. The reversal of 12111032000 is 23011121.

It is a super-2 number, since 2×121110320002 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 768197 + ... + 783803.

It is an arithmetic number, because the mean of its divisors is an integer number (270572484).

Almost surely, 212111032000 is an apocalyptic number.

12111032000 is a gapful number since it is divisible by the number (10) 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 12111032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15152059104).

12111032000 is an abundant number, since it is smaller than the sum of its proper divisors (18193086208).

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

12111032000 is an equidigital number, since it uses as much as digits as its factorization.

12111032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15731 (or 15711 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 12111032000 its reverse (23011121), we get a palindrome (12134043121).

The spelling of 12111032000 in words is "twelve billion, one hundred eleven million, thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 97 100 125 160 194 200 250 320 388 400 485 500 776 800 970 1000 1552 1600 1940 2000 2425 3104 3880 4000 4850 6208 7760 8000 9700 12125 15520 15607 19400 24250 31040 31214 38800 48500 62428 77600 78035 97000 124856 155200 156070 194000 249712 312140 388000 390175 499424 624280 776000 780350 998848 1248560 1513879 1560700 1950875 2497120 3027758 3121400 3901750 4994240 6055516 6242800 7569395 7803500 12111032 12485600 15138790 15607000 24222064 24971200 30277580 31214000 37846975 48444128 60555160 62428000 75693950 96888256 121110320 124856000 151387900 189234875 242220640 302775800 378469750 484441280 605551600 756939500 1211103200 1513879000 2422206400 3027758000 6055516000 12111032000