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12021221101120 = 26573112905147
BaseRepresentation
bin1010111011101110100010…
…0111010000111001000000
31120120012212120022201212121
42232323220213100321000
53033423430100213440
641322250035534024
72350335031261000
oct256735047207100
946505776281777
1012021221101120
113915197a12200
12142196275a314
1369279a06935a
142d7b8a128000
1515ca75e9434a
hexaeee89d0e40

12021221101120 has 336 divisors, whose sum is σ = 36693251683200. Its totient is φ = 3746869969920.

The previous prime is 12021221101093. The next prime is 12021221101139. The reversal of 12021221101120 is 2110112212021.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 12021221101094 and 12021221101103.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12828387 + ... + 13733533.

It is an arithmetic number, because the mean of its divisors is an integer number (109206106200).

Almost surely, 212021221101120 is an apocalyptic number.

12021221101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12021221101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18346625841600).

12021221101120 is an abundant number, since it is smaller than the sum of its proper divisors (24672030582080).

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

12021221101120 is an equidigital number, since it uses as much as digits as its factorization.

12021221101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905207 (or 905172 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12021221101120 its reverse (2110112212021), we get a palindrome (14131333313141).

The spelling of 12021221101120 in words is "twelve trillion, twenty-one billion, two hundred twenty-one million, one hundred one thousand, one hundred twenty".