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112220221012200 = 233252718061493127
BaseRepresentation
bin11001100001000001001110…
…011010001111100011101000
3112201100011000011002011120100
4121201001032122033203220
5104202104003034342300
61034401131405225400
732431433455656150
oct3141011632174350
9481304004064510
10112220221012200
1132836368205a04
1210705044b62260
134a80424262972
141d9d6b8289760
15ce918aeda700
hex66104e68f8e8

112220221012200 has 288 divisors, whose sum is σ = 430736616984960. Its totient is φ = 25648864012800.

The previous prime is 112220221012183. The next prime is 112220221012213. The reversal of 112220221012200 is 2210122022211.

It is a happy number.

112220221012200 is a `hidden beast` number, since 1 + 1 + 2 + 220 + 221 + 0 + 1 + 220 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 227322037 + ... + 227815163.

It is an arithmetic number, because the mean of its divisors is an integer number (1495613253420).

Almost surely, 2112220221012200 is an apocalyptic number.

112220221012200 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 112220221012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215368308492480).

112220221012200 is an abundant number, since it is smaller than the sum of its proper divisors (318516395972760).

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

112220221012200 is a wasteful number, since it uses less digits than its factorization.

112220221012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511217 (or 511205 counting only the distinct ones).

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

Adding to 112220221012200 its reverse (2210122022211), we get a palindrome (114430343034411).

The spelling of 112220221012200 in words is "one hundred twelve trillion, two hundred twenty billion, two hundred twenty-one million, twelve thousand, two hundred".