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12017054228000 = 255327531091269
BaseRepresentation
bin1010111011011111000000…
…1111111001111000100000
31120112211010011121122112112
42232313300033321320200
53033341411340244000
641320320345214452
72350126543400603
oct256676017717040
946484104548475
1012017054228000
113913449911808
121420b9b191428
136922849bb963
142d78b297633a
1515c8d025a235
hexaedf03f9e20

12017054228000 has 96 divisors (see below), whose sum is σ = 29536654296240. Its totient is φ = 4805071257600.

The previous prime is 12017054227979. The next prime is 12017054228027. The reversal of 12017054228000 is 82245071021.

It can be written as a sum of positive squares in 8 ways, for example, as 1175602399504 + 10841451828496 = 1084252^2 + 3292636^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10466366 + ... + 11557634.

Almost surely, 212017054228000 is an apocalyptic number.

12017054228000 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 12017054228000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14768327148120).

12017054228000 is an abundant number, since it is smaller than the sum of its proper divisors (17519600068240).

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

12017054228000 is a wasteful number, since it uses less digits than its factorization.

12017054228000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1094047 (or 1094029 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 32.

Adding to 12017054228000 its reverse (82245071021), we get a palindrome (12099299299021).

The spelling of 12017054228000 in words is "twelve trillion, seventeen billion, fifty-four million, two hundred twenty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 2753 4000 5506 11012 13765 22024 27530 44048 55060 68825 88096 110120 137650 220240 275300 344125 440480 550600 688250 1091269 1101200 1376500 2182538 2202400 2753000 4365076 5456345 5506000 8730152 10912690 11012000 17460304 21825380 27281725 34920608 43650760 54563450 87301520 109126900 136408625 174603040 218253800 272817250 436507600 545634500 873015200 1091269000 2182538000 3004263557 4365076000 6008527114 12017054228 15021317785 24034108456 30042635570 48068216912 60085271140 75106588925 96136433824 120170542280 150213177850 240341084560 300426355700 375532944625 480682169120 600852711400 751065889250 1201705422800 1502131778500 2403410845600 3004263557000 6008527114000 12017054228000