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1221110122112 = 2722350984047
BaseRepresentation
bin10001110001001111110…
…101011100011010000000
311022201220021010102110222
4101301033311130122000
5130001313142401422
62332545323442212
7154136150531366
oct21611765343200
94281807112428
101221110122112
11430962914301
121787ab386368
138b1c4c7861a
1443160025636
1521b6d13b842
hex11c4fd5c680

1221110122112 has 64 divisors (see below), whose sum is σ = 2448419097600. Its totient is φ = 606615788544.

The previous prime is 1221110122109. The next prime is 1221110122159. The reversal of 1221110122112 is 2112210111221.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×12211101221122 (a number of 25 digits) contains 22 as substring.

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, 14486873 + ... + 14570919.

It is an arithmetic number, because the mean of its divisors is an integer number (38256548400).

Almost surely, 21221110122112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1221110122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1224209548800).

1221110122112 is an abundant number, since it is smaller than the sum of its proper divisors (1227308975488).

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

1221110122112 is an equidigital number, since it uses as much as digits as its factorization.

1221110122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84793 (or 84781 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 1221110122112 its reverse (2112210111221), we get a palindrome (3333320233333).

The spelling of 1221110122112 in words is "one trillion, two hundred twenty-one billion, one hundred ten million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 223 446 509 892 1018 1784 2036 3568 4072 7136 8144 14272 16288 28544 32576 65152 84047 113507 168094 227014 336188 454028 672376 908056 1344752 1816112 2689504 3632224 5379008 7264448 10758016 14528896 18742481 37484962 42779923 74969924 85559846 149939848 171119692 299879696 342239384 599759392 684478768 1199518784 1368957536 2399037568 2737915072 5475830144 9539922829 19079845658 38159691316 76319382632 152638765264 305277530528 610555061056 1221110122112