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12044042013200 = 2452171771182649
BaseRepresentation
bin1010111101000011100011…
…0110001000101000010000
31120122101202222220012000112
42233100320312020220100
53034312144223410300
641340542335140452
72352103405651241
oct257207066105020
946571688805015
1012044042013200
11392393880221a
121426271374728
13694995cb3822
142d8d12d18cc8
1515d45e6cae35
hexaf438d88a10

12044042013200 has 60 divisors (see below), whose sum is σ = 30637917479700. Its totient is φ = 4534227578880.

The previous prime is 12044042013191. The next prime is 12044042013301. The reversal of 12044042013200 is 231024044021.

It can be written as a sum of positive squares in 6 ways, for example, as 678000734464 + 11366041278736 = 823408^2 + 3371356^2 .

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, 885584525 + ... + 885598124.

It is an arithmetic number, because the mean of its divisors is an integer number (510631957995).

Almost surely, 212044042013200 is an apocalyptic number.

12044042013200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12044042013200 is an abundant number, since it is smaller than the sum of its proper divisors (18593875466500).

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

12044042013200 is a wasteful number, since it uses less digits than its factorization.

12044042013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1771182684 (or 1771182673 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 12044042013200 its reverse (231024044021), we get a palindrome (12275066057221).

The spelling of 12044042013200 in words is "twelve trillion, forty-four billion, forty-two million, thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 136 170 200 272 340 400 425 680 850 1360 1700 3400 6800 1771182649 3542365298 7084730596 8855913245 14169461192 17711826490 28338922384 30110105033 35423652980 44279566225 60220210066 70847305960 88559132450 120440420132 141694611920 150550525165 177118264900 240880840264 301101050330 354236529800 481761680528 602202100660 708473059600 752752625825 1204404201320 1505505251650 2408808402640 3011010503300 6022021006600 12044042013200