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220212121212 = 223271157954563
BaseRepresentation
bin1100110100010110101…
…0100100111001111100
3210001101221221211100100
43031011222210321330
512101443300334322
6245055234001100
721624030101046
oct3150552447174
9701357854310
10220212121212
1185434002006
1236818716190
13179c5936305
14a930622a96
155adcb40dac
hex3345aa4e7c

220212121212 has 72 divisors (see below), whose sum is σ = 564855258240. Its totient is φ = 72323022240.

The previous prime is 220212121211. The next prime is 220212121237. The reversal of 220212121212 is 212121212022.

It is a happy number.

220212121212 is a `hidden beast` number, since 220 + 21 + 212 + 1 + 212 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220212121211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4008643 + ... + 4063205.

It is an arithmetic number, because the mean of its divisors is an integer number (7845211920).

Almost surely, 2220212121212 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 220212121212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282427629120).

220212121212 is an abundant number, since it is smaller than the sum of its proper divisors (344643137028).

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

220212121212 is a wasteful number, since it uses less digits than its factorization.

220212121212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56223 (or 56218 counting only the distinct ones).

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

Adding to 220212121212 its reverse (212121212022), we get a palindrome (432333333234).

The spelling of 220212121212 in words is "two hundred twenty billion, two hundred twelve million, one hundred twenty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 71 142 213 284 426 639 852 1278 1579 2556 3158 4737 6316 9474 14211 18948 28422 54563 56844 109126 112109 163689 218252 224218 327378 336327 448436 491067 654756 672654 982134 1008981 1345308 1964268 2017962 3873973 4035924 7747946 11621919 15495892 23243838 34865757 46487676 69731514 86154977 139463028 172309954 258464931 344619908 516929862 775394793 1033859724 1550789586 3101579172 6117003367 12234006734 18351010101 24468013468 36702020202 55053030303 73404040404 110106060606 220212121212