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12100203131200 = 265262691206353
BaseRepresentation
bin1011000000010100110001…
…0011110011000101000000
31120211202201221221120122221
42300011030103303011000
53041222204000144300
641422431230540424
72356132212406162
oct260051423630500
946752657846587
1012100203131200
113945738241428
121435125667714
1369a0763118b2
142db91d9d8932
1515eb49dd231a
hexb014c4f3140

12100203131200 has 84 divisors (see below), whose sum is σ = 29778836426460. Its totient is φ = 4839305175040.

The previous prime is 12100203131171. The next prime is 12100203131251. The reversal of 12100203131200 is 213130200121.

It can be written as a sum of positive squares in 6 ways, for example, as 2804338747456 + 9295864383744 = 1674616^2 + 3048912^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9427224 + ... + 10633576.

Almost surely, 212100203131200 is an apocalyptic number.

12100203131200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12100203131200 is an abundant number, since it is smaller than the sum of its proper divisors (17678633295260).

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

12100203131200 is a wasteful number, since it uses less digits than its factorization.

12100203131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1212644 (or 1212629 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 12100203131200 its reverse (213130200121), we get a palindrome (12313333331321).

The spelling of 12100203131200 in words is "twelve trillion, one hundred billion, two hundred three million, one hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 6269 12538 25076 31345 50152 62690 100304 125380 156725 200608 250760 313450 401216 501520 626900 1003040 1206353 1253800 2006080 2412706 2507600 4825412 5015200 6031765 9650824 10030400 12063530 19301648 24127060 30158825 38603296 48254120 60317650 77206592 96508240 120635300 193016480 241270600 386032960 482541200 965082400 1930164800 7562626957 15125253914 30250507828 37813134785 60501015656 75626269570 121002031312 151252539140 189065673925 242004062624 302505078280 378131347850 484008125248 605010156560 756262695700 1210020313120 1512525391400 2420040626240 3025050782800 6050101565600 12100203131200