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2212112122020 = 2232526321466909
BaseRepresentation
bin100000001100001100001…
…010000100000010100100
321211110211220020002022100
4200030030022010002210
5242220401200401040
64412121423532100
7315551125536123
oct40141412040244
97743756202270
102212112122020
11783173694589
122b887ba5a030
131307a8014248
14790d1417aba
153c81e96db30
hex2030c2840a4

2212112122020 has 72 divisors (see below), whose sum is σ = 6710342740920. Its totient is φ = 589872890880.

The previous prime is 2212112122009. The next prime is 2212112122027. The reversal of 2212112122020 is 202212112122.

It is a happy number.

2212112122020 is a `hidden beast` number, since 221 + 211 + 212 + 2 + 0 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1267934552676 + 944177569344 = 1126026^2 + 971688^2 .

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 = 2212112121984 and 2212112122002.

It is not an unprimeable number, because it can be changed into a prime (2212112122027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4504326 + ... + 4971234.

It is an arithmetic number, because the mean of its divisors is an integer number (93199204735).

Almost surely, 22212112122020 is an apocalyptic number.

2212112122020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2212112122020 is an abundant number, since it is smaller than the sum of its proper divisors (4498230618900).

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

2212112122020 is a wasteful number, since it uses less digits than its factorization.

2212112122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493245 (or 493240 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2212112122020 its reverse (202212112122), we get a palindrome (2414324234142).

The spelling of 2212112122020 in words is "two trillion, two hundred twelve billion, one hundred twelve million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 26321 52642 78963 105284 131605 157926 236889 263210 315852 394815 466909 473778 526420 789630 933818 947556 1184445 1400727 1579260 1867636 2334545 2368890 2801454 4202181 4669090 4737780 5602908 7003635 8404362 9338180 14007270 16808724 21010905 28014540 42021810 84043620 12289511789 24579023578 36868535367 49158047156 61447558945 73737070734 110605606101 122895117890 147474141468 184342676835 221211212202 245790235780 368685353670 442422424404 553028030505 737370707340 1106056061010 2212112122020