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12112011000 = 233453149531
BaseRepresentation
bin10110100011110111…
…01001111011111000
31011021002212220120000
423101323221323320
5144301133323000
65321510233000
7606101252265
oct132173517370
934232786500
1012112011000
115155a07151
122420355760
1311b042231b
1482c85826c
154ad4e9000
hex2d1ee9ef8

12112011000 has 160 divisors (see below), whose sum is σ = 42338490480. Its totient is φ = 3229848000.

The previous prime is 12112010993. The next prime is 12112011011. The reversal of 12112011000 is 11021121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6235 + ... + 155765.

Almost surely, 212112011000 is an apocalyptic number.

12112011000 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 12112011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21169245240).

12112011000 is an abundant number, since it is smaller than the sum of its proper divisors (30226479480).

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

12112011000 is a wasteful number, since it uses less digits than its factorization.

12112011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149564 (or 149541 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12112011000 its reverse (11021121), we get a palindrome (12123032121).

It can be divided in two parts, 1211201 and 1000, that added together give a square (1212201 = 11012).

The spelling of 12112011000 in words is "twelve billion, one hundred twelve million, eleven thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 81 90 100 108 120 125 135 150 162 180 200 216 225 250 270 300 324 360 375 405 450 500 540 600 648 675 750 810 900 1000 1080 1125 1350 1500 1620 1800 2025 2250 2700 3000 3240 3375 4050 4500 5400 6750 8100 9000 10125 13500 16200 20250 27000 40500 81000 149531 299062 448593 598124 747655 897186 1196248 1345779 1495310 1794372 2242965 2691558 2990620 3588744 3738275 4037337 4485930 5383116 5981240 6728895 7476550 8074674 8971860 10766232 11214825 12112011 13457790 14953100 16149348 17943720 18691375 20186685 22429650 24224022 26915580 29906200 32298696 33644475 37382750 40373370 44859300 48448044 53831160 56074125 60560055 67288950 74765500 80746740 89718600 96896088 100933425 112148250 121120110 134577900 149531000 161493480 168222375 201866850 224296500 242240220 269155800 302800275 336444750 403733700 448593000 484480440 504667125 605600550 672889500 807467400 1009334250 1211201100 1345779000 1514001375 2018668500 2422402200 3028002750 4037337000 6056005500 12112011000