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1222112210022 = 235112203103769
BaseRepresentation
bin10001110010001011100…
…100000110110001100110
311022211111002201202200000
4101302023210012301212
5130010341211210042
62333233002002130
7154203036246444
oct21621344066146
94284432652600
101222112210022
11431327533830
12178a2aaa6346
138b324766c52
1443217157b94
1521bcb0d174c
hex11c8b906c66

1222112210022 has 96 divisors (see below), whose sum is σ = 2997003784320. Its totient is φ = 370165360320.

The previous prime is 1222112209943. The next prime is 1222112210029. The reversal of 1222112210022 is 2200122112221.

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 = 1222112209977 and 1222112210004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1222112210029) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11725354 + ... + 11829122.

It is an arithmetic number, because the mean of its divisors is an integer number (31218789420).

Almost surely, 21222112210022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1222112210022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1498501892160).

1222112210022 is an abundant number, since it is smaller than the sum of its proper divisors (1774891574298).

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

1222112210022 is a wasteful number, since it uses less digits than its factorization.

1222112210022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106000 (or 105988 counting only the distinct ones).

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

Adding to 1222112210022 its reverse (2200122112221), we get a palindrome (3422234322243).

The spelling of 1222112210022 in words is "one trillion, two hundred twenty-two billion, one hundred twelve million, two hundred ten thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 243 297 486 594 891 1782 2203 2673 4406 5346 6609 13218 19827 24233 39654 48466 59481 72699 103769 118962 145398 178443 207538 218097 311307 356886 436194 535329 622614 654291 933921 1070658 1141459 1308582 1867842 1962873 2282918 2801763 3424377 3925746 5603526 5888619 6848754 8405289 10273131 11777238 16810578 20546262 25215867 30819393 50431734 61638786 92458179 184916358 228603107 277374537 457206214 554749074 685809321 1371618642 2057427963 2514634177 4114855926 5029268354 6172283889 7543902531 12344567778 15087805062 18516851667 22631707593 37033703334 45263415186 55550555001 67895122779 111101110002 135790245558 203685368337 407370736674 611056105011 1222112210022