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20012121120 = 253541691919
BaseRepresentation
bin10010101000110100…
…001011110000100000
31220122200100002022010
4102220310023300200
5311441100333440
613105441112520
71305630136305
oct225064136040
956580302263
1020012121120
11853a358882
123a66028740
131b6c05cab4
14d7bb5d0ac
157c1d62580
hex4a8d0bc20

20012121120 has 48 divisors (see below), whose sum is σ = 63038183040. Its totient is φ = 5336565504.

The previous prime is 20012121109. The next prime is 20012121137. The reversal of 20012121120 is 2112121002.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 20012121096 and 20012121105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20845480 + ... + 20846439.

It is an arithmetic number, because the mean of its divisors is an integer number (1313295480).

Almost surely, 220012121120 is an apocalyptic number.

20012121120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20012121120 is an abundant number, since it is smaller than the sum of its proper divisors (43026061920).

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

20012121120 is a wasteful number, since it uses less digits than its factorization.

20012121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41691937 (or 41691929 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20012121120 its reverse (2112121002), we get a palindrome (22124242122).

The spelling of 20012121120 in words is "twenty billion, twelve million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 41691919 83383838 125075757 166767676 208459595 250151514 333535352 416919190 500303028 625378785 667070704 833838380 1000606056 1250757570 1334141408 1667676760 2001212112 2501515140 3335353520 4002424224 5003030280 6670707040 10006060560 20012121120