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220212122112 = 29323710712071
BaseRepresentation
bin1100110100010110101…
…0100101001000000000
3210001101221221212120200
43031011222211020000
512101443300401422
6245055234005200
721624030103503
oct3150552451000
9701357855520
10220212122112
1185434002754
1236818716800
13179c5936848
14a93062313a
155adcb412ac
hex3345aa5200

220212122112 has 240 divisors, whose sum is σ = 658878846912. Its totient is φ = 70746808320.

The previous prime is 220212122099. The next prime is 220212122177. The reversal of 220212122112 is 211221212022.

It is a happy number.

220212122112 is a `hidden beast` number, since 220 + 21 + 212 + 211 + 2 = 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 23 ways as a sum of consecutive naturals, for example, 18237037 + ... + 18249107.

Almost surely, 2220212122112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220212122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329439423456).

220212122112 is an abundant number, since it is smaller than the sum of its proper divisors (438666724800).

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

220212122112 is a wasteful number, since it uses less digits than its factorization.

220212122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12239 (or 12220 counting only the distinct ones).

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

Adding to 220212122112 its reverse (211221212022), we get a palindrome (431433334134).

The spelling of 220212122112 in words is "two hundred twenty billion, two hundred twelve million, one hundred twenty-two thousand, one hundred twelve".