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20111200012000 = 25535394864151
BaseRepresentation
bin1001001001010100000001…
…11011101100011011100000
32122012121112002220102000201
410210222000323230123200
510114000214200341000
6110434542512154544
74143662166360406
oct444520073543340
978177462812021
1020111200012000
1164541261219a9
122309828238a54
13b2b62a2aa6c6
144d755c975476
1524d2124bc96a
hex124a80eec6e0

20111200012000 has 96 divisors (see below), whose sum is σ = 50345543836224. Its totient is φ = 7892697280000.

The previous prime is 20111200011979. The next prime is 20111200012003. The reversal of 20111200012000 is 21000211102.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20111200012003) by changing a digit.

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, 47220076 + ... + 47644075.

It is an arithmetic number, because the mean of its divisors is an integer number (524432748294).

Almost surely, 220111200012000 is an apocalyptic number.

20111200012000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20111200012000 is an abundant number, since it is smaller than the sum of its proper divisors (30234343824224).

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

20111200012000 is an equidigital number, since it uses as much as digits as its factorization.

20111200012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94864229 (or 94864211 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 20111200012000 its reverse (21000211102), we get a palindrome (20132200223102).

The spelling of 20111200012000 in words is "twenty trillion, one hundred eleven billion, two hundred million, twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 53 80 100 106 125 160 200 212 250 265 400 424 500 530 800 848 1000 1060 1325 1696 2000 2120 2650 4000 4240 5300 6625 8480 10600 13250 21200 26500 42400 53000 106000 212000 94864151 189728302 379456604 474320755 758913208 948641510 1517826416 1897283020 2371603775 3035652832 3794566040 4743207550 5027800003 7589132080 9486415100 10055600006 11858018875 15178264160 18972830200 20111200012 23716037750 25139000015 37945660400 40222400024 47432075500 50278000030 75891320800 80444800048 94864151000 100556000060 125695000075 160889600096 189728302000 201112000120 251390000150 379456604000 402224000240 502780000300 628475000375 804448000480 1005560000600 1256950000750 2011120001200 2513900001500 4022240002400 5027800003000 10055600006000 20111200012000