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1220212112022 = 234127169734949
BaseRepresentation
bin10001110000011010010…
…011110011101010010110
311022122120200100210020000
4101300122103303222112
5124442443300041042
62332320244152130
7154104664551231
oct21603223635226
94278520323200
101220212112022
11430541a21002
1217859a698646
138b0b0bca8c7
14430b6a66418
1521b193a474c
hex11c1a4f3a96

1220212112022 has 80 divisors (see below), whose sum is σ = 2757410726400. Its totient is φ = 403285381632.

The previous prime is 1220212112011. The next prime is 1220212112027. The reversal of 1220212112022 is 2202112120221.

It is a happy number.

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 = 1220212111986 and 1220212112004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220212112027) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 34896604 + ... + 34931552.

It is an arithmetic number, because the mean of its divisors is an integer number (34467634080).

Almost surely, 21220212112022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1220212112022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378705363200).

1220212112022 is an abundant number, since it is smaller than the sum of its proper divisors (1537198614378).

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

1220212112022 is a wasteful number, since it uses less digits than its factorization.

1220212112022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36787 (or 36778 counting only the distinct ones).

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

Adding to 1220212112022 its reverse (2202112120221), we get a palindrome (3422324232243).

The spelling of 1220212112022 in words is "one trillion, two hundred twenty billion, two hundred twelve million, one hundred twelve thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 127 162 254 381 762 1143 1697 2286 3394 3429 5091 6858 10182 10287 15273 20574 30546 34949 45819 69898 91638 104847 137457 209694 215519 274914 314541 431038 629082 646557 943623 1293114 1887246 1939671 2830869 3879342 4438523 5661738 5819013 8877046 11638026 13315569 17457039 26631138 34914078 39946707 59308453 79893414 118616906 119840121 177925359 239680242 355850718 359520363 533776077 719040726 1067552154 1601328231 3202656462 4803984693 7532173531 9607969386 15064347062 22596520593 45193041186 67789561779 135579123558 203368685337 406737370674 610106056011 1220212112022