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1222220102112 = 25325841772647
BaseRepresentation
bin10001110010010001111…
…111101011100111100000
311022211202121202020210100
4101302101333223213200
5130011101321231422
62333251414302400
7154205516311602
oct21622177534740
94284677666710
101222220102112
11431382425749
12178a5b057a00
138b340c11a19
1443227601172
1521bd57e47ac
hex11c91feb9e0

1222220102112 has 72 divisors (see below), whose sum is σ = 3475795757616. Its totient is φ = 407394118656.

The previous prime is 1222220102041. The next prime is 1222220102123. The reversal of 1222220102112 is 2112010222221.

It is a happy number.

1222220102112 is a `hidden beast` number, since 1 + 222 + 220 + 10 + 211 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 16787773 + ... + 16860419.

It is an arithmetic number, because the mean of its divisors is an integer number (48274941078).

Almost surely, 21222220102112 is an apocalyptic number.

1222220102112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1222220102112 is an abundant number, since it is smaller than the sum of its proper divisors (2253575655504).

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

1222220102112 is a wasteful number, since it uses less digits than its factorization.

1222220102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131080 (or 131069 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1222220102112 its reverse (2112010222221), we get a palindrome (3334230324333).

The spelling of 1222220102112 in words is "one trillion, two hundred twenty-two billion, two hundred twenty million, one hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 58417 72647 116834 145294 175251 217941 233668 290588 350502 435882 467336 525753 581176 653823 701004 871764 934672 1051506 1162352 1307646 1402008 1743528 1869344 2103012 2324704 2615292 2804016 3487056 4206024 5230584 5608032 6974112 8412048 10461168 16824096 20922336 4243819799 8487639598 12731459397 16975279196 25462918794 33950558392 38194378191 50925837588 67901116784 76388756382 101851675176 135802233568 152777512764 203703350352 305555025528 407406700704 611110051056 1222220102112