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12122000010020 = 2253610916785289
BaseRepresentation
bin1011000001100101111110…
…0000010010101100100100
31120220212000000121202021002
42300121133200102230210
53042101324000310040
641440434145412432
72360533314000635
oct260313740225444
946825000552232
1012122000010020
113953a02a9306a
1214393a933a118
1369c13b055a24
142dc9ca7c388c
151604c378ba15
hexb065f812b24

12122000010020 has 24 divisors (see below), whose sum is σ = 25456906519800. Its totient is φ = 4848665432832.

The previous prime is 12122000009983. The next prime is 12122000010047. The reversal of 12122000010020 is 2001000022121.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1761996069604 + 10360003940416 = 1327402^2 + 3218696^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12122000009983 and 12122000010010.

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 7 ways as a sum of consecutive naturals, for example, 7670465 + ... + 9114824.

It is an arithmetic number, because the mean of its divisors is an integer number (1060704438325).

Almost surely, 212122000010020 is an apocalyptic number.

12122000010020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12122000010020 is an abundant number, since it is smaller than the sum of its proper divisors (13334906509780).

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

12122000010020 is a wasteful number, since it uses less digits than its factorization.

12122000010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16821407 (or 16821405 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 12122000010020 its reverse (2001000022121), we get a palindrome (14123000032141).

The spelling of 12122000010020 in words is "twelve trillion, one hundred twenty-two billion, ten thousand, twenty".

Divisors: 1 2 4 5 10 20 36109 72218 144436 180545 361090 722180 16785289 33570578 67141156 83926445 167852890 335705780 606100000501 1212200001002 2424400002004 3030500002505 6061000005010 12122000010020