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122112202212 = 223471113715303
BaseRepresentation
bin111000110111001110…
…1000101010111100100
3102200012012122121020000
41301232131011113210
54000041210432322
6132033024141300
711552024410230
oct1615635052744
9380165577200
10122112202212
1147873177990
121b7bb167830
13b690988270
145ca5a8b5c0
15329a62d3ac
hex1c6e7455e4

122112202212 has 480 divisors, whose sum is σ = 434729078784. Its totient is φ = 28859846400.

The previous prime is 122112202187. The next prime is 122112202213. The reversal of 122112202212 is 212202211221.

It is a happy number.

122112202212 is a `hidden beast` number, since 1 + 221 + 1 + 220 + 221 + 2 = 666.

It is a super-2 number, since 2×1221122022122 (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (122112202213) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 23024353 + ... + 23029655.

Almost surely, 2122112202212 is an apocalyptic number.

122112202212 is a gapful number since it is divisible by the number (12) 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 122112202212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217364539392).

122112202212 is an abundant number, since it is smaller than the sum of its proper divisors (312616876572).

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

122112202212 is a wasteful number, since it uses less digits than its factorization.

122112202212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5421 (or 5410 counting only the distinct ones).

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

Adding to 122112202212 its reverse (212202211221), we get a palindrome (334314413433).

Subtracting 122112202212 from its reverse (212202211221), we obtain a palindrome (90090009009).

The spelling of 122112202212 in words is "one hundred twenty-two billion, one hundred twelve million, two hundred two thousand, two hundred twelve".