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222112120001220 = 223354716375346037
BaseRepresentation
bin110010100000001010000010…
…000000110101001011000100
31002010102201012112111121112000
4302200022002000311023010
5213103041110210014340
62104220522125225300
764533033251204511
oct6240120200651304
91063381175447460
10222112120001220
11648542483205a9
1220ab2997702230
1396c21105a5867
143cbc3d92ca308
151aa29a51b3d30
hexca02820352c4

222112120001220 has 192 divisors, whose sum is σ = 706149178076160. Its totient is φ = 57934265071104.

The previous prime is 222112120001153. The next prime is 222112120001293. The reversal of 222112120001220 is 22100021211222.

It is a happy number.

222112120001220 is a `hidden beast` number, since 2 + 221 + 1 + 21 + 200 + 0 + 1 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 222112120001193 and 222112120001202.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38874042 + ... + 44220078.

It is an arithmetic number, because the mean of its divisors is an integer number (3677860302480).

Almost surely, 2222112120001220 is an apocalyptic number.

222112120001220 is a gapful number since it is divisible by the number (20) 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 222112120001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353074589038080).

222112120001220 is an abundant number, since it is smaller than the sum of its proper divisors (484037058074940).

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

222112120001220 is a wasteful number, since it uses less digits than its factorization.

222112120001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5347739 (or 5347731 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 222112120001220 its reverse (22100021211222), we get a palindrome (244212141212442).

The spelling of 222112120001220 in words is "two hundred twenty-two trillion, one hundred twelve billion, one hundred twenty million, one thousand, two hundred twenty".