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222002210112120 = 233253137717572391
BaseRepresentation
bin110010011110100011101010…
…110111111000001001111000
31002010001012111201122202001200
4302132203222313320021320
5213044241011242041440
62104054223555014200
764522062502441164
oct6236435267701170
91063035451582050
10222002210112120
1164811677028109
1220a95622b9a360
1396b4945969219
143cb6d70081ca4
151a9ebc0e6ac30
hexc9e8eadf8278

222002210112120 has 384 divisors, whose sum is σ = 775684335329280. Its totient is φ = 54957377664000.

The previous prime is 222002210112103. The next prime is 222002210112139. The reversal of 222002210112120 is 21211012200222.

It is a happy number.

222002210112120 is a `hidden beast` number, since 2 + 220 + 0 + 2 + 210 + 112 + 120 = 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 = 222002210112093 and 222002210112102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25531125 + ... + 33103515.

It is an arithmetic number, because the mean of its divisors is an integer number (2020011289920).

Almost surely, 2222002210112120 is an apocalyptic number.

222002210112120 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 222002210112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387842167664640).

222002210112120 is an abundant number, since it is smaller than the sum of its proper divisors (553682125217160).

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

222002210112120 is a wasteful number, since it uses less digits than its factorization.

222002210112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7572547 (or 7572540 counting only the distinct ones).

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

Adding to 222002210112120 its reverse (21211012200222), we get a palindrome (243213222312342).

The spelling of 222002210112120 in words is "two hundred twenty-two trillion, two billion, two hundred ten million, one hundred twelve thousand, one hundred twenty".