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1200000220122 = 2311232103333691
BaseRepresentation
bin10001011101100101100…
…101100011101111011010
311020201102002010021221010
4101131211211203233122
5124130100024020442
62315134505154350
7152461060400544
oct21354545435732
94221362107833
101200000220122
11422a0a927510
1217469978b9b6
138920c663c62
144211a584694
1521334c30b9c
hex11765963bda

1200000220122 has 96 divisors (see below), whose sum is σ = 2763546379776. Its totient is φ = 344448165600.

The previous prime is 1200000220093. The next prime is 1200000220123. The reversal of 1200000220122 is 2210220000021.

It is a junction number, because it is equal to n+sod(n) for n = 1200000220098 and 1200000220107.

It is not an unprimeable number, because it can be changed into a prime (1200000220123) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3429297 + ... + 3762987.

It is an arithmetic number, because the mean of its divisors is an integer number (28786941456).

Almost surely, 21200000220122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1200000220122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1381773189888).

1200000220122 is an abundant number, since it is smaller than the sum of its proper divisors (1563546159654).

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

1200000220122 is a wasteful number, since it uses less digits than its factorization.

1200000220122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333856 (or 333833 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 1200000220122 its reverse (2210220000021), we get a palindrome (3410220220143).

The spelling of 1200000220122 in words is "one trillion, two hundred billion, two hundred twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 103 138 206 253 309 506 529 618 759 1058 1133 1518 1587 2266 2369 3174 3399 4738 5819 6798 7107 11638 14214 17457 26059 34914 52118 54487 78177 108974 156354 163461 326922 333691 599357 667382 1001073 1198714 1798071 2002146 3596142 3670601 7341202 7674893 11011803 15349786 22023606 23024679 34370173 46049358 68740346 84423823 103110519 168847646 176522539 206221038 253271469 353045078 378071903 506542938 529567617 756143806 790513979 1059135234 1134215709 1581027958 1941747929 2268431418 2371541937 3883495858 4743083874 5825243787 8695653769 11650487574 17391307538 18181821517 26086961307 36363643034 52173922614 54545464551 109090929102 200000036687 400000073374 600000110061 1200000220122