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120102022220000 = 255417593413929
BaseRepresentation
bin11011010011101101101110…
…010111110000100011100000
3120202020122022102120210112012
4123103231232113300203200
5111220222420142020000
61103234035103052052
734204041033560612
oct3323555627604340
9522218272523465
10120102022220000
11352a4a88543107
12115786b02a1028
135202758b934a2
142192d7c8d0db2
15dd41e1191735
hex6d3b6e5f08e0

120102022220000 has 120 divisors (see below), whose sum is σ = 295637052110400. Its totient is φ = 48013483392000.

The previous prime is 120102022219999. The next prime is 120102022220003. The reversal of 120102022220000 is 22220201021.

It is a super-3 number, since 3×1201020222200003 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120102022220003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 33473036 + ... + 36886964.

It is an arithmetic number, because the mean of its divisors is an integer number (2463642100920).

Almost surely, 2120102022220000 is an apocalyptic number.

120102022220000 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 120102022220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147818526055200).

120102022220000 is an abundant number, since it is smaller than the sum of its proper divisors (175535029890400).

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

120102022220000 is an equidigital number, since it uses as much as digits as its factorization.

120102022220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3415718 (or 3415695 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 120102022220000 its reverse (22220201021), we get a palindrome (120124242421021).

The spelling of 120102022220000 in words is "one hundred twenty trillion, one hundred two billion, twenty-two million, two hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 1759 2000 2500 3518 4000 5000 7036 8795 10000 14072 17590 20000 28144 35180 43975 56288 70360 87950 140720 175900 219875 281440 351800 439750 703600 879500 1099375 1407200 1759000 2198750 3413929 3518000 4397500 6827858 7036000 8795000 13655716 17069645 17590000 27311432 34139290 35180000 54622864 68278580 85348225 109245728 136557160 170696450 273114320 341392900 426741125 546228640 682785800 853482250 1365571600 1706964500 2133705625 2731143200 3413929000 4267411250 6005101111 6827858000 8534822500 12010202222 13655716000 17069645000 24020404444 30025505555 34139290000 48040808888 60051011110 68278580000 96081617776 120102022220 150127527775 192163235552 240204044440 300255055550 480408088880 600510111100 750637638875 960816177760 1201020222200 1501275277750 2402040444400 3002550555500 3753188194375 4804080888800 6005101111000 7506376388750 12010202222000 15012752777500 24020404444000 30025505555000 60051011110000 120102022220000