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12220122202020 = 22325659103019071
BaseRepresentation
bin1011000111010011100000…
…0010101111111110100100
31121021020021022211120012100
42301310320002233332210
53100203302240431040
641553502512452100
72400606006605355
oct261647002577644
947236238746170
1012220122202020
113991585450227
12145441224a030
136a8477801975
143036582b5d2c
15162d17bedb30
hexb1d380affa4

12220122202020 has 72 divisors (see below), whose sum is σ = 37123952785920. Its totient is φ = 3253754306880.

The previous prime is 12220122202019. The next prime is 12220122202109. The reversal of 12220122202020 is 2020222102221.

12220122202020 is a `hidden beast` number, since 12 + 220 + 12 + 220 + 202 + 0 = 666.

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 = 12220122201984 and 12220122202002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51390916 + ... + 51628155.

It is an arithmetic number, because the mean of its divisors is an integer number (515610455360).

Almost surely, 212220122202020 is an apocalyptic number.

12220122202020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12220122202020 is an abundant number, since it is smaller than the sum of its proper divisors (24903830583900).

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

12220122202020 is a wasteful number, since it uses less digits than its factorization.

12220122202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103019745 (or 103019740 counting only the distinct ones).

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

Adding to 12220122202020 its reverse (2020222102221), we get a palindrome (14240344304241).

The spelling of 12220122202020 in words is "twelve trillion, two hundred twenty billion, one hundred twenty-two million, two hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 659 1318 1977 2636 3295 3954 5931 6590 7908 9885 11862 13180 19770 23724 29655 39540 59310 118620 103019071 206038142 309057213 412076284 515095355 618114426 927171639 1030190710 1236228852 1545286065 1854343278 2060381420 3090572130 3708686556 4635858195 6181144260 9271716390 18543432780 67889567789 135779135578 203668703367 271558271156 339447838945 407337406734 611006110101 678895677890 814674813468 1018343516835 1222012220202 1357791355780 2036687033670 2444024440404 3055030550505 4073374067340 6110061101010 12220122202020