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20220211222112 = 2511175236460891
BaseRepresentation
bin1001001100011111000101…
…00000011101011001100000
32122121000220021201122200002
410212033202200131121200
510122241443033101422
6111001011540515132
74154601453356456
oct446174240353140
978530807648602
1020220211222112
116496386105590
12232698b9abaa8
13b389b0993a25
144dc9406c89d6
15250e9289a692
hex1263e281d660

20220211222112 has 96 divisors (see below), whose sum is σ = 46069984808064. Its totient is φ = 8633816524800.

The previous prime is 20220211222109. The next prime is 20220211222121. The reversal of 20220211222112 is 21122211202202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100814 + ... + 6360077.

It is an arithmetic number, because the mean of its divisors is an integer number (479895675084).

Almost surely, 220220211222112 is an apocalyptic number.

20220211222112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20220211222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23034992404032).

20220211222112 is an abundant number, since it is smaller than the sum of its proper divisors (25849773585952).

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

20220211222112 is a wasteful number, since it uses less digits than its factorization.

20220211222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6461452 (or 6461444 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 20220211222112 its reverse (21122211202202), we get a palindrome (41342422424314).

The spelling of 20220211222112 in words is "twenty trillion, two hundred twenty billion, two hundred eleven million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 68 88 136 176 187 272 352 374 523 544 748 1046 1496 2092 2992 4184 5753 5984 8368 8891 11506 16736 17782 23012 35564 46024 71128 92048 97801 142256 184096 195602 284512 391204 782408 1564816 3129632 6460891 12921782 25843564 51687128 71069801 103374256 109835147 142139602 206748512 219670294 284279204 439340588 568558408 878681176 1137116816 1208186617 1757362352 2274233632 2416373234 3379045993 3514724704 4832746468 6758091986 9665492936 13516183972 19330985872 27032367944 37169505923 38661971744 54064735888 57443781881 74339011846 108129471776 114887563762 148678023692 229775127524 297356047384 459550255048 594712094768 631881600691 919100510096 1189424189536 1263763201382 1838201020192 2527526402764 5055052805528 10110105611056 20220211222112