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20012001120 = 2532513897223
BaseRepresentation
bin10010101000110011…
…101110011101100000
31220122200002222200200
4102220303232131200
5311441033013440
613105434345200
71305626126406
oct225063563540
956580088620
1020012001120
11853a286701
123a65b8b200
131b6c01a2a7
14d7bb2b476
157c1d3bc30
hex4a8cee760

20012001120 has 72 divisors (see below), whose sum is σ = 68290958736. Its totient is φ = 5336533248.

The previous prime is 20012001103. The next prime is 20012001133. The reversal of 20012001120 is 2110021002.

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 (9).

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 11 ways as a sum of consecutive naturals, for example, 6947172 + ... + 6950051.

It is an arithmetic number, because the mean of its divisors is an integer number (948485538).

Almost surely, 220012001120 is an apocalyptic number.

20012001120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20012001120 is an abundant number, since it is smaller than the sum of its proper divisors (48278957616).

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

20012001120 is a wasteful number, since it uses less digits than its factorization.

20012001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13897244 (or 13897233 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 20012001120 its reverse (2110021002), we get a palindrome (22122022122).

The spelling of 20012001120 in words is "twenty billion, twelve million, one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 13897223 27794446 41691669 55588892 69486115 83383338 111177784 125075007 138972230 166766676 208458345 222355568 250150014 277944460 333533352 416916690 444711136 500300028 555888920 625375035 667066704 833833380 1000600056 1111777840 1250750070 1334133408 1667666760 2001200112 2223555680 2501500140 3335333520 4002400224 5003000280 6670667040 10006000560 20012001120