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12010122201220 = 2251113231324113789
BaseRepresentation
bin1010111011000101001100…
…0100010100100010000100
31120112011020001210012110221
42232301103010110202010
53033233212240414340
641313212435554124
72346463011214153
oct256612304244204
946464201705427
1012010122201220
113910511974460
12141b78575b944
1369171b7c4b70
142d741607159a
1515c6268bb44a
hexaec53114884

12010122201220 has 192 divisors, whose sum is σ = 30923430289920. Its totient is φ = 3855521894400.

The previous prime is 12010122201169. The next prime is 12010122201239. The reversal of 12010122201220 is 2210222101021.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12010122201194 and 12010122201203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 870986086 + ... + 870999874.

It is an arithmetic number, because the mean of its divisors is an integer number (161059532760).

Almost surely, 212010122201220 is an apocalyptic number.

12010122201220 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 12010122201220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15461715144960).

12010122201220 is an abundant number, since it is smaller than the sum of its proper divisors (18913308088700).

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

12010122201220 is a wasteful number, since it uses less digits than its factorization.

12010122201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27086 (or 27084 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12010122201220 its reverse (2210222101021), we get a palindrome (14220344302241).

The spelling of 12010122201220 in words is "twelve trillion, ten billion, one hundred twenty-two million, two hundred one thousand, two hundred twenty".