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12044122020 = 2232579558827
BaseRepresentation
bin10110011011110001…
…01011011110100100
31011002101010210101100
423031320223132210
5144131243401040
65311043200100
7604315230240
oct131570533644
934071123340
1012044122020
115120658157
122401676030
13119c342628
14823825420
154a7588b30
hex2cde2b7a4

12044122020 has 72 divisors (see below), whose sum is σ = 41752960704. Its totient is φ = 2752941888.

The previous prime is 12044122009. The next prime is 12044122031. The reversal of 12044122020 is 2022144021.

12044122020 is a `hidden beast` number, since 1 + 2 + 0 + 441 + 220 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12044122009) and next prime (12044122031).

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

It is a junction number, because it is equal to n+sod(n) for n = 12044121984 and 12044122002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4778154 + ... + 4780673.

It is an arithmetic number, because the mean of its divisors is an integer number (579902232).

Almost surely, 212044122020 is an apocalyptic number.

12044122020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12044122020 is an abundant number, since it is smaller than the sum of its proper divisors (29708838684).

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

12044122020 is a wasteful number, since it uses less digits than its factorization.

12044122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9558849 (or 9558844 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 12044122020 its reverse (2022144021), we get a palindrome (14066266041).

The spelling of 12044122020 in words is "twelve billion, forty-four million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 9558827 19117654 28676481 38235308 47794135 57352962 66911789 86029443 95588270 114705924 133823578 143382405 172058886 191176540 200735367 267647156 286764810 334558945 344117772 401470734 430147215 573529620 602206101 669117890 802941468 860294430 1003676835 1204412202 1338235780 1720588860 2007353670 2408824404 3011030505 4014707340 6022061010 12044122020