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1222212010122 = 23523194956101
BaseRepresentation
bin10001110010010001100…
…000110100000010001010
311022211202001112010200000
4101302101200310002022
5130011042233310442
62333250525023430
7154205360450025
oct21622140640212
94284661463600
101222212010122
114313788a9054
12178a583b4b76
138b33c33a76c
14432264d61bc
1521bd4c46d4c
hex11c9183408a

1222212010122 has 96 divisors (see below), whose sum is σ = 2867126371200. Its totient is φ = 389483899200.

The previous prime is 1222212010109. The next prime is 1222212010127. The reversal of 1222212010122 is 2210102122221.

It is a happy number.

1222212010122 is a `hidden beast` number, since 122 + 221 + 201 + 0 + 122 = 666.

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 = 1222212010095 and 1222212010104.

It is not an unprimeable number, because it can be changed into a prime (1222212010127) 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, 21757872 + ... + 21813972.

It is an arithmetic number, because the mean of its divisors is an integer number (29865899700).

Almost surely, 21222212010122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1222212010122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1433563185600).

1222212010122 is an abundant number, since it is smaller than the sum of its proper divisors (1644914361078).

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

1222212010122 is a wasteful number, since it uses less digits than its factorization.

1222212010122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58090 (or 58078 counting only the distinct ones).

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

Adding to 1222212010122 its reverse (2210102122221), we get a palindrome (3432314132343).

The spelling of 1222212010122 in words is "one trillion, two hundred twenty-two billion, two hundred twelve million, ten thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 81 138 162 207 243 414 486 621 1242 1863 1949 3726 3898 5589 5847 11178 11694 17541 35082 44827 52623 56101 89654 105246 112202 134481 157869 168303 268962 315738 336606 403443 473607 504909 806886 947214 1009818 1210329 1290323 1514727 2420658 2580646 3029454 3630987 3870969 4544181 7261974 7741938 9088362 10892961 11612907 13632543 21785922 23225814 27265086 34838721 69677442 104516163 109340849 209032326 218681698 313548489 328022547 627096978 656045094 984067641 1968135282 2514839527 2952202923 5029679054 5904405846 7544518581 8856608769 15089037162 17713217538 22633555743 26569826307 45267111486 53139652614 67900667229 135801334458 203702001687 407404003374 611106005061 1222212010122