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2221100120000 = 2654300118503
BaseRepresentation
bin100000010100100011111…
…000100011011111000000
321212100001021201200122102
4200110203320203133000
5242342303112320000
64420205335525532
7316316634341636
oct40244370433700
97770037650572
102221100120000
11786a66128493
122ba569b298a8
131315ab151648
1479704dc7356
153cb98a793d5
hex20523e237c0

2221100120000 has 140 divisors (see below), whose sum is σ = 5509739456496. Its totient is φ = 888096000000.

The previous prime is 2221100119969. The next prime is 2221100120011. The reversal of 2221100120000 is 210011222.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 120030749 + ... + 120049251.

Almost surely, 22221100120000 is an apocalyptic number.

2221100120000 is a gapful number since it is divisible by the number (20) 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 2221100120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2754869728248).

2221100120000 is an abundant number, since it is smaller than the sum of its proper divisors (3288639336496).

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

2221100120000 is an equidigital number, since it uses as much as digits as its factorization.

2221100120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21536 (or 21511 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2221100120000 its reverse (210011222), we get a palindrome (2221310131222).

The spelling of 2221100120000 in words is "two trillion, two hundred twenty-one billion, one hundred million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 3001 4000 5000 6002 8000 10000 12004 15005 18503 20000 24008 30010 37006 40000 48016 60020 74012 75025 92515 96032 120040 148024 150050 185030 192064 240080 296048 300100 370060 375125 462575 480160 592096 600200 740120 750250 925150 960320 1184192 1200400 1480240 1500500 1850300 1875625 2312875 2400800 2960480 3001000 3700600 3751250 4625750 4801600 5920960 6002000 7401200 7502500 9251500 11564375 12004000 14802400 15005000 18503000 23128750 24008000 29604800 30010000 37006000 46257500 55527503 60020000 74012000 92515000 111055006 120040000 148024000 185030000 222110012 277637515 370060000 444220024 555275030 740120000 888440048 1110550060 1388187575 1776880096 2221100120 2776375150 3553760192 4442200240 5552750300 6940937875 8884400480 11105500600 13881875750 17768800960 22211001200 27763751500 34704689375 44422002400 55527503000 69409378750 88844004800 111055006000 138818757500 222110012000 277637515000 444220024000 555275030000 1110550060000 2221100120000